Finding the Fourth Proportional to 17,633.50, 26,454.70 and 8,141.24

Step by Step Solution

1. Step 1: Write the proportion equation
   17,633.50 : 26,454.70 = 8,141.24 : x
2. Step 2: Convert to fraction form
   17,633.50/26,454.70 = 8,141.24/x
3. Step 3: Cross multiply
   17,633.50x = 26,454.70 × 8,141.24
4. Step 4: Simplify right side
   17,633.50x = 215,374,061.83
5. Step 5: Solve for x
   x = 215,374,061.83/17,633.50
6. Step 6: Final answer
   x = 12,213.91