Finding the Fourth Proportional to 10,401.62, 14,353.81 and 5,685.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.62 : 14,353.81 = 5,685.90 : x
2. Step 2: Convert to fraction form
   10,401.62/14,353.81 = 5,685.90/x
3. Step 3: Cross multiply
   10,401.62x = 14,353.81 × 5,685.90
4. Step 4: Simplify right side
   10,401.62x = 81,614,260.24
5. Step 5: Solve for x
   x = 81,614,260.24/10,401.62
6. Step 6: Final answer
   x = 7,846.31