Finding the Fourth Proportional to 10,402.31, 14,355.20 and 5,686.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.31 : 14,355.20 = 5,686.59 : x
2. Step 2: Convert to fraction form
   10,402.31/14,355.20 = 5,686.59/x
3. Step 3: Cross multiply
   10,402.31x = 14,355.20 × 5,686.59
4. Step 4: Simplify right side
   10,402.31x = 81,632,136.77
5. Step 5: Solve for x
   x = 81,632,136.77/10,402.31
6. Step 6: Final answer
   x = 7,847.50