Finding the Fourth Proportional to 17,543.40, 24,209.83 and 9,585.69

Step by Step Solution

1. Step 1: Write the proportion equation
   17,543.40 : 24,209.83 = 9,585.69 : x
2. Step 2: Convert to fraction form
   17,543.40/24,209.83 = 9,585.69/x
3. Step 3: Cross multiply
   17,543.40x = 24,209.83 × 9,585.69
4. Step 4: Simplify right side
   17,543.40x = 232,067,846.53
5. Step 5: Solve for x
   x = 232,067,846.53/17,543.40
6. Step 6: Final answer
   x = 13,228.22