Finding the Fourth Proportional to 10,385.57, 14,332.01 and 5,669.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,385.57 : 14,332.01 = 5,669.85 : x
2. Step 2: Convert to fraction form
   10,385.57/14,332.01 = 5,669.85/x
3. Step 3: Cross multiply
   10,385.57x = 14,332.01 × 5,669.85
4. Step 4: Simplify right side
   10,385.57x = 81,260,343.72
5. Step 5: Solve for x
   x = 81,260,343.72/10,385.57
6. Step 6: Final answer
   x = 7,824.35