Finding the Fourth Proportional to 17,535.50, 24,198.65 and 9,577.79

Step by Step Solution

1. Step 1: Write the proportion equation
   17,535.50 : 24,198.65 = 9,577.79 : x
2. Step 2: Convert to fraction form
   17,535.50/24,198.65 = 9,577.79/x
3. Step 3: Cross multiply
   17,535.50x = 24,198.65 × 9,577.79
4. Step 4: Simplify right side
   17,535.50x = 231,769,419.10
5. Step 5: Solve for x
   x = 231,769,419.10/17,535.50
6. Step 6: Final answer
   x = 13,217.16