Finding the Fourth Proportional to 10,540.16, 14,545.50 and 5,824.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540.16 : 14,545.50 = 5,824.34 : x
2. Step 2: Convert to fraction form
   10,540.16/14,545.50 = 5,824.34/x
3. Step 3: Cross multiply
   10,540.16x = 14,545.50 × 5,824.34
4. Step 4: Simplify right side
   10,540.16x = 84,717,937.47
5. Step 5: Solve for x
   x = 84,717,937.47/10,540.16
6. Step 6: Final answer
   x = 8,037.63