Finding the Fourth Proportional to 10,540.62, 14,545.80 and 5,760.35

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.62 : 14,545.80 = 5,760.35 : x
2. Step 2: Convert to fraction form
   10,540.62/14,545.80 = 5,760.35/x
3. Step 3: Cross multiply
   10,540.62x = 14,545.80 × 5,760.35
4. Step 4: Simplify right side
   10,540.62x = 83,788,826.30
5. Step 5: Solve for x
   x = 83,788,826.30/10,540.62
6. Step 6: Final answer
   x = 7,949.14