Finding the Fourth Proportional to 10,223.99, 14,108.75 and 5,686.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,223.99 : 14,108.75 = 5,686.65 : x
2. Step 2: Convert to fraction form
   10,223.99/14,108.75 = 5,686.65/x
3. Step 3: Cross multiply
   10,223.99x = 14,108.75 × 5,686.65
4. Step 4: Simplify right side
   10,223.99x = 80,231,516.08
5. Step 5: Solve for x
   x = 80,231,516.08/10,223.99
6. Step 6: Final answer
   x = 7,847.37