Finding the Fourth Proportional to 10,540.71, 14,545.61 and 5,824.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.71 : 14,545.61 = 5,824.69 : x
2. Step 2: Convert to fraction form
   10,540.71/14,545.61 = 5,824.69/x
3. Step 3: Cross multiply
   10,540.71x = 14,545.61 × 5,824.69
4. Step 4: Simplify right side
   10,540.71x = 84,723,625.47
5. Step 5: Solve for x
   x = 84,723,625.47/10,540.71
6. Step 6: Final answer
   x = 8,037.75