Finding the Fourth Proportional to 9,532.71, 14,308.38 and 5,159.52

Step by Step Solution

1. Step 1: Write the proportion equation
   9,532.71 : 14,308.38 = 5,159.52 : x
2. Step 2: Convert to fraction form
   9,532.71/14,308.38 = 5,159.52/x
3. Step 3: Cross multiply
   9,532.71x = 14,308.38 × 5,159.52
4. Step 4: Simplify right side
   9,532.71x = 73,824,372.78
5. Step 5: Solve for x
   x = 73,824,372.78/9,532.71
6. Step 6: Final answer
   x = 7,744.32