Finding the Fourth Proportional to 10,401.96, 14,354.62 and 5,686.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.96 : 14,354.62 = 5,686.24 : x
2. Step 2: Convert to fraction form
   10,401.96/14,354.62 = 5,686.24/x
3. Step 3: Cross multiply
   10,401.96x = 14,354.62 × 5,686.24
4. Step 4: Simplify right side
   10,401.96x = 81,623,814.43
5. Step 5: Solve for x
   x = 81,623,814.43/10,401.96
6. Step 6: Final answer
   x = 7,846.96