Finding the Fourth Proportional to 10,402.64, 14,355.77 and 5,686.92

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.64 : 14,355.77 = 5,686.92 : x
2. Step 2: Convert to fraction form
   10,402.64/14,355.77 = 5,686.92/x
3. Step 3: Cross multiply
   10,402.64x = 14,355.77 × 5,686.92
4. Step 4: Simplify right side
   10,402.64x = 81,640,087.09
5. Step 5: Solve for x
   x = 81,640,087.09/10,402.64
6. Step 6: Final answer
   x = 7,848.02