Finding the Fourth Proportional to 16,086.24, 24,090.24 and 11,142

Step by Step Solution

1. Step 1: Write the proportion equation
   16,086.24 : 24,090.24 = 11,142 : x
2. Step 2: Convert to fraction form
   16,086.24/24,090.24 = 11,142/x
3. Step 3: Cross multiply
   16,086.24x = 24,090.24 × 11,142
4. Step 4: Simplify right side
   16,086.24x = 268,413,454.08
5. Step 5: Solve for x
   x = 268,413,454.08/16,086.24
6. Step 6: Final answer
   x = 16,685.90