Finding the Fourth Proportional to 10,385.52, 14,332.04 and 5,669.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,385.52 : 14,332.04 = 5,669.80 : x
2. Step 2: Convert to fraction form
   10,385.52/14,332.04 = 5,669.80/x
3. Step 3: Cross multiply
   10,385.52x = 14,332.04 × 5,669.80
4. Step 4: Simplify right side
   10,385.52x = 81,259,757.47
5. Step 5: Solve for x
   x = 81,259,757.47/10,385.52
6. Step 6: Final answer
   x = 7,824.33