Finding the Fourth Proportional to 10,401.48, 14,354.10 and 5,685.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.48 : 14,354.10 = 5,685.75 : x
2. Step 2: Convert to fraction form
   10,401.48/14,354.10 = 5,685.75/x
3. Step 3: Cross multiply
   10,401.48x = 14,354.10 × 5,685.75
4. Step 4: Simplify right side
   10,401.48x = 81,613,824.08
5. Step 5: Solve for x
   x = 81,613,824.08/10,401.48
6. Step 6: Final answer
   x = 7,846.37