Finding the Fourth Proportional to 10,402.56, 14,355.54 and 5,686.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.56 : 14,355.54 = 5,686.85 : x
2. Step 2: Convert to fraction form
   10,402.56/14,355.54 = 5,686.85/x
3. Step 3: Cross multiply
   10,402.56x = 14,355.54 × 5,686.85
4. Step 4: Simplify right side
   10,402.56x = 81,637,730.87
5. Step 5: Solve for x
   x = 81,637,730.87/10,402.56
6. Step 6: Final answer
   x = 7,847.85