Finding the Fourth Proportional to 17,742.57, 24,483.18 and 9,782.82

Step by Step Solution

1. Step 1: Write the proportion equation
   17,742.57 : 24,483.18 = 9,782.82 : x
2. Step 2: Convert to fraction form
   17,742.57/24,483.18 = 9,782.82/x
3. Step 3: Cross multiply
   17,742.57x = 24,483.18 × 9,782.82
4. Step 4: Simplify right side
   17,742.57x = 239,514,542.97
5. Step 5: Solve for x
   x = 239,514,542.97/17,742.57
6. Step 6: Final answer
   x = 13,499.43