Finding the Fourth Proportional to 17,588.43, 24,259.16 and 10,782.61

Step by Step Solution

1. Step 1: Write the proportion equation
   17,588.43 : 24,259.16 = 10,782.61 : x
2. Step 2: Convert to fraction form
   17,588.43/24,259.16 = 10,782.61/x
3. Step 3: Cross multiply
   17,588.43x = 24,259.16 × 10,782.61
4. Step 4: Simplify right side
   17,588.43x = 261,577,061.21
5. Step 5: Solve for x
   x = 261,577,061.21/17,588.43
6. Step 6: Final answer
   x = 14,872.11