Finding the Fourth Proportional to 9,564.52, 14,332.38 and 5,665

Step by Step Solution

1. Step 1: Write the proportion equation
   9,564.52 : 14,332.38 = 5,665 : x
2. Step 2: Convert to fraction form
   9,564.52/14,332.38 = 5,665/x
3. Step 3: Cross multiply
   9,564.52x = 14,332.38 × 5,665
4. Step 4: Simplify right side
   9,564.52x = 81,192,932.70
5. Step 5: Solve for x
   x = 81,192,932.70/9,564.52
6. Step 6: Final answer
   x = 8,488.97