Finding the Fourth Proportional to 17,538.16, 24,201.78 and 9,578.92

Step by Step Solution

1. Step 1: Write the proportion equation
   17,538.16 : 24,201.78 = 9,578.92 : x
2. Step 2: Convert to fraction form
   17,538.16/24,201.78 = 9,578.92/x
3. Step 3: Cross multiply
   17,538.16x = 24,201.78 × 9,578.92
4. Step 4: Simplify right side
   17,538.16x = 231,826,914.48
5. Step 5: Solve for x
   x = 231,826,914.48/17,538.16
6. Step 6: Final answer
   x = 13,218.43