Finding the Fourth Proportional to 10,385.69, 14,332.16 and 5,669.96

Step by Step Solution

1. Step 1: Write the proportion equation
   10,385.69 : 14,332.16 = 5,669.96 : x
2. Step 2: Convert to fraction form
   10,385.69/14,332.16 = 5,669.96/x
3. Step 3: Cross multiply
   10,385.69x = 14,332.16 × 5,669.96
4. Step 4: Simplify right side
   10,385.69x = 81,262,823.92
5. Step 5: Solve for x
   x = 81,262,823.92/10,385.69
6. Step 6: Final answer
   x = 7,824.50