Finding the Fourth Proportional to 9,108.72, 12,569.40 and 5,382

Step by Step Solution

1. Step 1: Write the proportion equation
   9,108.72 : 12,569.40 = 5,382 : x
2. Step 2: Convert to fraction form
   9,108.72/12,569.40 = 5,382/x
3. Step 3: Cross multiply
   9,108.72x = 12,569.40 × 5,382
4. Step 4: Simplify right side
   9,108.72x = 67,648,510.80
5. Step 5: Solve for x
   x = 67,648,510.80/9,108.72
6. Step 6: Final answer
   x = 7,426.79