Finding the Fourth Proportional to 17,822.82, 24,594.42 and 9,864.57

Step by Step Solution

1. Step 1: Write the proportion equation
   17,822.82 : 24,594.42 = 9,864.57 : x
2. Step 2: Convert to fraction form
   17,822.82/24,594.42 = 9,864.57/x
3. Step 3: Cross multiply
   17,822.82x = 24,594.42 × 9,864.57
4. Step 4: Simplify right side
   17,822.82x = 242,613,377.70
5. Step 5: Solve for x
   x = 242,613,377.70/17,822.82
6. Step 6: Final answer
   x = 13,612.51