Finding the Fourth Proportional to 10,414.62, 15,614.64 and 3,839.04

Step by Step Solution

1. Step 1: Write the proportion equation
   10,414.62 : 15,614.64 = 3,839.04 : x
2. Step 2: Convert to fraction form
   10,414.62/15,614.64 = 3,839.04/x
3. Step 3: Cross multiply
   10,414.62x = 15,614.64 × 3,839.04
4. Step 4: Simplify right side
   10,414.62x = 59,945,227.55
5. Step 5: Solve for x
   x = 59,945,227.55/10,414.62
6. Step 6: Final answer
   x = 5,755.87