Method
The following setup will maximize total profits when all things are considered, note that a lot of the optional improvements marginally contribute to the final GP rate.
- Equip the following:
Miner's Helmet
Clue Chasers Insignia
Maximum Skillcape (or 
Mining Skillcape when Error creating thumbnail: File missingMining,
Woodcutting Skillcape when Error creating thumbnail: File missingWoodcutting,
Runecrafting Skillcape when Error creating thumbnail: File missingRunecrafting,
Magic Skillcape when performing Error creating thumbnail: File missingAlt. Magic and
Fletching Skillcape when Error creating thumbnail: File missingFletching)
Mining Gloves
Lumberjack's Top- File:Aorpheats Signet Ring (item).png Aorpheats Signet Ring
Ring of Wealth on passive slot
Bird Nest Potion IV on Error creating thumbnail: File missingWoodcutting
Elemental Potion IV on Error creating thumbnail: File missingRunecrafting
Perfect Swing Potion IV on Error creating thumbnail: File missingMining
Skilled Fletching Potion IV on Error creating thumbnail: File missingFletching
Nature's Call Staff- Error creating thumbnail: File missingAgility Obstacle 3: Stepping Stones
- Error creating thumbnail: File missingAgility Obstacle 4: Cave Climb
- Error creating thumbnail: File missingAgility Obstacle 5: Rock Climb
- Error creating thumbnail: File missingAgility Obstacle 6: Tree Hop
- Error creating thumbnail: File missingAgility Obstacle 9: Ice Jump
- Error creating thumbnail: File missingAgility Obstacle 10: Lava Waterfall Dodge
- Error creating thumbnail: File missingAgility Pillar: Pillar of Generosity
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for every hour of fletching intended:
- Error creating thumbnail: File missingCut 2,509
Redwood Logs and 
Yew Logs - Error creating thumbnail: File missingMine 12
Rune Essence, 48 
Dragonite Ore and 96 
Runite Ore - Error creating thumbnail: File missingRunecraft 76
Spirit Rune and 179 
Lava Rune
- Equip
Amulet of Incantation - Error creating thumbnail: File missingCastError creating thumbnail: File missingSuperheat IV to create 178
Draonite Bars
- Equip Clue Chasers Insignia
- Change Error creating thumbnail: File missingAgility Obstacle 3 to Pipe Balance (If price is minimized it'll cost 75,000 GP, 15
Iron Ore and 15 
Tin Ore) - Change Error creating thumbnail: File missingAgility Obstacle 4 to Coal Stones (If price is minimized it'll cost 125,000 GP, 5
Tomato Seeds and 25 
Salmon) - Change Error creating thumbnail: File missingAgility Obstacle 5 to Mountain Climb (If price is minimized it'll cost 250,000 GP and 50
Bones) - Error creating thumbnail: File missingSmith 4,182
Dragon Javelin Heads
- Charge your
Mysterious Stones - Error creating thumbnail: File missingFletch
Dragon Javelins until you run out of resources
It is recommended to fletch for many hours at a time as to minimize the cost of switching between agility obstacles
Ratios
For each hour of Fletching you'll need to spend (on average):
- 00:01s mining Rune Essence
- 00:11.5s mining Dragonite Ore
- 00:23s mining Runite Ore
- 00:27s runecrafting Spirit Rune
- 01:04s runecrafting Lava Rune
- 01:21s Superheat IV'ing Dragonite Bar
- 37:16s Woodcutting Redwood Logs and Yew Logs
- 09:38s Smithing Dragon Javelin Heads
and it'll generate 50,297 Dragon Javelins, selling for 32,693,142 GP and leave as byproducts:
- 8.09
Mastery Token (Fletching) - 2.60
Mastery Token (Smithing) - 0.70
Mastery Token (Woodcutting) - 0.02
Mastery Token (Runecrafting) - 0.03
Mastery Token (Mining) - 0.12
Circlet of Rhaelyx - 0.30
Jewel of Rhaelyx - 1.06 Mysterious Stone
- 40.71
Coal Ore - 1351
Bird Nest - 2330 Yew Logs
and consume:
- 2.57
Charge Stone of Rhaelyx - 0.08 Mining Gloves
- 0.39 Perfect Swing Potion IV
- 0.64 Elemental Potion IV
It is recommended to combine Circlet of Rhaelyx and Jewel of Rhaelyx into 
Crowns of Rhaelyx and selling them using Item Alchemy III and GP boosting items, this will add (per hour of fletching) 0.02 seconds to sell crowns and 0.04 seconds to sell the leftover Jewels of Rhaelyx, with the profit from that and selling the other leftover elements normally you'll end up with a maximum possible output of 18,265,154 GP per hour all things considered.