Finding the Fourth Proportional to 10,401.49, 14,354.02 and 5,685.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.49 : 14,354.02 = 5,685.80 : x
2. Step 2: Convert to fraction form
   10,401.49/14,354.02 = 5,685.80/x
3. Step 3: Cross multiply
   10,401.49x = 14,354.02 × 5,685.80
4. Step 4: Simplify right side
   10,401.49x = 81,614,086.92
5. Step 5: Solve for x
   x = 81,614,086.92/10,401.49
6. Step 6: Final answer
   x = 7,846.38