Finding the Fourth Proportional to 10,500.71, 14,490.90 and 5,785.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500.71 : 14,490.90 = 5,785.02 : x
2. Step 2: Convert to fraction form
   10,500.71/14,490.90 = 5,785.02/x
3. Step 3: Cross multiply
   10,500.71x = 14,490.90 × 5,785.02
4. Step 4: Simplify right side
   10,500.71x = 83,830,146.32
5. Step 5: Solve for x
   x = 83,830,146.32/10,500.71
6. Step 6: Final answer
   x = 7,983.29