Finding the Fourth Proportional to 10,401.87, 14,354.71 and 5,686.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.87 : 14,354.71 = 5,686.15 : x
2. Step 2: Convert to fraction form
   10,401.87/14,354.71 = 5,686.15/x
3. Step 3: Cross multiply
   10,401.87x = 14,354.71 × 5,686.15
4. Step 4: Simplify right side
   10,401.87x = 81,623,005.84
5. Step 5: Solve for x
   x = 81,623,005.84/10,401.87
6. Step 6: Final answer
   x = 7,846.96