Finding the Fourth Proportional to 10,385.40, 14,331.92 and 5,669.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,385.40 : 14,331.92 = 5,669.72 : x
2. Step 2: Convert to fraction form
   10,385.40/14,331.92 = 5,669.72/x
3. Step 3: Cross multiply
   10,385.40x = 14,331.92 × 5,669.72
4. Step 4: Simplify right side
   10,385.40x = 81,257,973.46
5. Step 5: Solve for x
   x = 81,257,973.46/10,385.40
6. Step 6: Final answer
   x = 7,824.25