Finding the Fourth Proportional to 17,496.05, 24,144.75 and 9,538.20

Step by Step Solution

1. Step 1: Write the proportion equation
   17,496.05 : 24,144.75 = 9,538.20 : x
2. Step 2: Convert to fraction form
   17,496.05/24,144.75 = 9,538.20/x
3. Step 3: Cross multiply
   17,496.05x = 24,144.75 × 9,538.20
4. Step 4: Simplify right side
   17,496.05x = 230,297,454.45
5. Step 5: Solve for x
   x = 230,297,454.45/17,496.05
6. Step 6: Final answer
   x = 13,162.83