Finding the Fourth Proportional to 10,401.88, 14,354.68 and 5,686.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.88 : 14,354.68 = 5,686.16 : x
2. Step 2: Convert to fraction form
   10,401.88/14,354.68 = 5,686.16/x
3. Step 3: Cross multiply
   10,401.88x = 14,354.68 × 5,686.16
4. Step 4: Simplify right side
   10,401.88x = 81,623,007.23
5. Step 5: Solve for x
   x = 81,623,007.23/10,401.88
6. Step 6: Final answer
   x = 7,846.95