Finding the Fourth Proportional to 10,401.50, 14,354.12 and 5,685.77

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.50 : 14,354.12 = 5,685.77 : x
2. Step 2: Convert to fraction form
   10,401.50/14,354.12 = 5,685.77/x
3. Step 3: Cross multiply
   10,401.50x = 14,354.12 × 5,685.77
4. Step 4: Simplify right side
   10,401.50x = 81,614,224.87
5. Step 5: Solve for x
   x = 81,614,224.87/10,401.50
6. Step 6: Final answer
   x = 7,846.39