Finding the Fourth Proportional to 10,223.24, 14,107.71 and 5,685.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,223.24 : 14,107.71 = 5,685.90 : x
2. Step 2: Convert to fraction form
   10,223.24/14,107.71 = 5,685.90/x
3. Step 3: Cross multiply
   10,223.24x = 14,107.71 × 5,685.90
4. Step 4: Simplify right side
   10,223.24x = 80,215,049.61
5. Step 5: Solve for x
   x = 80,215,049.61/10,223.24
6. Step 6: Final answer
   x = 7,846.34