Finding the Fourth Proportional to 10,401.75, 14,354.42 and 5,686.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.75 : 14,354.42 = 5,686.07 : x
2. Step 2: Convert to fraction form
   10,401.75/14,354.42 = 5,686.07/x
3. Step 3: Cross multiply
   10,401.75x = 14,354.42 × 5,686.07
4. Step 4: Simplify right side
   10,401.75x = 81,620,136.73
5. Step 5: Solve for x
   x = 81,620,136.73/10,401.75
6. Step 6: Final answer
   x = 7,846.77