Finding the Fourth Proportional to 9,081.34, 13,640.69 and 5,965.77

Step by Step Solution

1. Step 1: Write the proportion equation
   9,081.34 : 13,640.69 = 5,965.77 : x
2. Step 2: Convert to fraction form
   9,081.34/13,640.69 = 5,965.77/x
3. Step 3: Cross multiply
   9,081.34x = 13,640.69 × 5,965.77
4. Step 4: Simplify right side
   9,081.34x = 81,377,189.35
5. Step 5: Solve for x
   x = 81,377,189.35/9,081.34
6. Step 6: Final answer
   x = 8,960.93