Finding the Fourth Proportional to 17,814.86, 24,584.16 and 9,857.09

Step by Step Solution

1. Step 1: Write the proportion equation
   17,814.86 : 24,584.16 = 9,857.09 : x
2. Step 2: Convert to fraction form
   17,814.86/24,584.16 = 9,857.09/x
3. Step 3: Cross multiply
   17,814.86x = 24,584.16 × 9,857.09
4. Step 4: Simplify right side
   17,814.86x = 242,328,165.10
5. Step 5: Solve for x
   x = 242,328,165.10/17,814.86
6. Step 6: Final answer
   x = 13,602.58