Finding the Fourth Proportional to 17,785.26, 24,543.98 and 9,827.02

Step by Step Solution

1. Step 1: Write the proportion equation
   17,785.26 : 24,543.98 = 9,827.02 : x
2. Step 2: Convert to fraction form
   17,785.26/24,543.98 = 9,827.02/x
3. Step 3: Cross multiply
   17,785.26x = 24,543.98 × 9,827.02
4. Step 4: Simplify right side
   17,785.26x = 241,194,182.34
5. Step 5: Solve for x
   x = 241,194,182.34/17,785.26
6. Step 6: Final answer
   x = 13,561.47