Finding the Fourth Proportional to 17,787.50, 24,547.25 and 9,830.23

Step by Step Solution

1. Step 1: Write the proportion equation
   17,787.50 : 24,547.25 = 9,830.23 : x
2. Step 2: Convert to fraction form
   17,787.50/24,547.25 = 9,830.23/x
3. Step 3: Cross multiply
   17,787.50x = 24,547.25 × 9,830.23
4. Step 4: Simplify right side
   17,787.50x = 241,305,002.85
5. Step 5: Solve for x
   x = 241,305,002.85/17,787.50
6. Step 6: Final answer
   x = 13,565.99