Finding the Fourth Proportional to 10,401.90, 14,354.83 and 5,686.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,401.90 : 14,354.83 = 5,686.38 : x
2. Step 2: Convert to fraction form
   10,401.90/14,354.83 = 5,686.38/x
3. Step 3: Cross multiply
   10,401.90x = 14,354.83 × 5,686.38
4. Step 4: Simplify right side
   10,401.90x = 81,627,018.22
5. Step 5: Solve for x
   x = 81,627,018.22/10,401.90
6. Step 6: Final answer
   x = 7,847.32