Finding the Fourth Proportional to 10,539.82, 14,545.25 and 5,824.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,539.82 : 14,545.25 = 5,824.41 : x
2. Step 2: Convert to fraction form
   10,539.82/14,545.25 = 5,824.41/x
3. Step 3: Cross multiply
   10,539.82x = 14,545.25 × 5,824.41
4. Step 4: Simplify right side
   10,539.82x = 84,717,499.55
5. Step 5: Solve for x
   x = 84,717,499.55/10,539.82
6. Step 6: Final answer
   x = 8,037.85