Finding the Fourth Proportional to 10,402.62, 14,355.61 and 5,686.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.62 : 14,355.61 = 5,686.90 : x
2. Step 2: Convert to fraction form
   10,402.62/14,355.61 = 5,686.90/x
3. Step 3: Cross multiply
   10,402.62x = 14,355.61 × 5,686.90
4. Step 4: Simplify right side
   10,402.62x = 81,638,927.31
5. Step 5: Solve for x
   x = 81,638,927.31/10,402.62
6. Step 6: Final answer
   x = 7,847.92