Finding the Fourth Proportional to 10,224.25, 14,109.33 and 5,686.90

Step by Step Solution

1. Step 1: Write the proportion equation
   10,224.25 : 14,109.33 = 5,686.90 : x
2. Step 2: Convert to fraction form
   10,224.25/14,109.33 = 5,686.90/x
3. Step 3: Cross multiply
   10,224.25x = 14,109.33 × 5,686.90
4. Step 4: Simplify right side
   10,224.25x = 80,238,348.78
5. Step 5: Solve for x
   x = 80,238,348.78/10,224.25
6. Step 6: Final answer
   x = 7,847.85