Finding the Fourth Proportional to 10,539.72, 14,545.56 and 5,823.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,539.72 : 14,545.56 = 5,823.90 : x
2. Step 2: Convert to fraction form
   10,539.72/14,545.56 = 5,823.90/x
3. Step 3: Cross multiply
   10,539.72x = 14,545.56 × 5,823.90
4. Step 4: Simplify right side
   10,539.72x = 84,711,886.88
5. Step 5: Solve for x
   x = 84,711,886.88/10,539.72
6. Step 6: Final answer
   x = 8,037.39