Finding the Fourth Proportional to 17,733.57, 24,464.43 and 10,178.09

Step by Step Solution

1. Step 1: Write the proportion equation
   17,733.57 : 24,464.43 = 10,178.09 : x
2. Step 2: Convert to fraction form
   17,733.57/24,464.43 = 10,178.09/x
3. Step 3: Cross multiply
   17,733.57x = 24,464.43 × 10,178.09
4. Step 4: Simplify right side
   17,733.57x = 249,001,139.76
5. Step 5: Solve for x
   x = 249,001,139.76/17,733.57
6. Step 6: Final answer
   x = 14,041.23