Finding the Fourth Proportional to 10,402.63, 14,355.71 and 5,686.91

Step by Step Solution

1. Step 1: Write the proportion equation
   10,402.63 : 14,355.71 = 5,686.91 : x
2. Step 2: Convert to fraction form
   10,402.63/14,355.71 = 5,686.91/x
3. Step 3: Cross multiply
   10,402.63x = 14,355.71 × 5,686.91
4. Step 4: Simplify right side
   10,402.63x = 81,639,558.98
5. Step 5: Solve for x
   x = 81,639,558.98/10,402.63
6. Step 6: Final answer
   x = 7,847.98