Finding the Fourth Proportional to 10,658.52, 14,700.83 and 7,825.01

Step by Step Solution

1. Step 1: Write the proportion equation
   10,658.52 : 14,700.83 = 7,825.01 : x
2. Step 2: Convert to fraction form
   10,658.52/14,700.83 = 7,825.01/x
3. Step 3: Cross multiply
   10,658.52x = 14,700.83 × 7,825.01
4. Step 4: Simplify right side
   10,658.52x = 115,034,029.13
5. Step 5: Solve for x
   x = 115,034,029.13/10,658.52
6. Step 6: Final answer
   x = 10,792.68