Finding the Fourth Proportional to 10,402.50, 14,355.39 and 5,686.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.50 : 14,355.39 = 5,686.80 : x
2. Step 2: Convert to fraction form
   10,402.50/14,355.39 = 5,686.80/x
3. Step 3: Cross multiply
   10,402.50x = 14,355.39 × 5,686.80
4. Step 4: Simplify right side
   10,402.50x = 81,636,231.85
5. Step 5: Solve for x
   x = 81,636,231.85/10,402.50
6. Step 6: Final answer
   x = 7,847.75