Finding the Fourth Proportional to 10,540.40, 14,545.86 and 5,760.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.40 : 14,545.86 = 5,760.48 : x
2. Step 2: Convert to fraction form
   10,540.40/14,545.86 = 5,760.48/x
3. Step 3: Cross multiply
   10,540.40x = 14,545.86 × 5,760.48
4. Step 4: Simplify right side
   10,540.40x = 83,791,135.61
5. Step 5: Solve for x
   x = 83,791,135.61/10,540.40
6. Step 6: Final answer
   x = 7,949.52