Finding the Fourth Proportional to 17,758.72, 24,508.64 and 10,684

Step by Step Solution

1. Step 1: Write the proportion equation
   17,758.72 : 24,508.64 = 10,684 : x
2. Step 2: Convert to fraction form
   17,758.72/24,508.64 = 10,684/x
3. Step 3: Cross multiply
   17,758.72x = 24,508.64 × 10,684
4. Step 4: Simplify right side
   17,758.72x = 261,850,309.76
5. Step 5: Solve for x
   x = 261,850,309.76/17,758.72
6. Step 6: Final answer
   x = 14,744.89