Finding the Fourth Proportional to 17,643, 24,171.24 and 16,978.80

Step by Step Solution

1. Step 1: Write the proportion equation
   17,643 : 24,171.24 = 16,978.80 : x
2. Step 2: Convert to fraction form
   17,643/24,171.24 = 16,978.80/x
3. Step 3: Cross multiply
   17,643x = 24,171.24 × 16,978.80
4. Step 4: Simplify right side
   17,643x = 410,398,649.71
5. Step 5: Solve for x
   x = 410,398,649.71/17,643
6. Step 6: Final answer
   x = 23,261.27