Finding the Fourth Proportional to 17,784.56, 24,540.57 and 9,825.71

Step by Step Solution

1. Step 1: Write the proportion equation
   17,784.56 : 24,540.57 = 9,825.71 : x
2. Step 2: Convert to fraction form
   17,784.56/24,540.57 = 9,825.71/x
3. Step 3: Cross multiply
   17,784.56x = 24,540.57 × 9,825.71
4. Step 4: Simplify right side
   17,784.56x = 241,128,401.35
5. Step 5: Solve for x
   x = 241,128,401.35/17,784.56
6. Step 6: Final answer
   x = 13,558.30