Finding the Fourth Proportional to 9,534.71, 14,308.55 and 5,152.61

Step by Step Solution

1. Step 1: Write the proportion equation
   9,534.71 : 14,308.55 = 5,152.61 : x
2. Step 2: Convert to fraction form
   9,534.71/14,308.55 = 5,152.61/x
3. Step 3: Cross multiply
   9,534.71x = 14,308.55 × 5,152.61
4. Step 4: Simplify right side
   9,534.71x = 73,726,280.51
5. Step 5: Solve for x
   x = 73,726,280.51/9,534.71
6. Step 6: Final answer
   x = 7,732.41