Finding the Fourth Proportional to 17,822.71, 24,597.94 and 10,267.57

Step by Step Solution

1. Step 1: Write the proportion equation
   17,822.71 : 24,597.94 = 10,267.57 : x
2. Step 2: Convert to fraction form
   17,822.71/24,597.94 = 10,267.57/x
3. Step 3: Cross multiply
   17,822.71x = 24,597.94 × 10,267.57
4. Step 4: Simplify right side
   17,822.71x = 252,561,124.54
5. Step 5: Solve for x
   x = 252,561,124.54/17,822.71
6. Step 6: Final answer
   x = 14,170.74