Finding the Fourth Proportional to 16,096.68, 24,140.16 and 5,706

Step by Step Solution

1. Step 1: Write the proportion equation
   16,096.68 : 24,140.16 = 5,706 : x
2. Step 2: Convert to fraction form
   16,096.68/24,140.16 = 5,706/x
3. Step 3: Cross multiply
   16,096.68x = 24,140.16 × 5,706
4. Step 4: Simplify right side
   16,096.68x = 137,743,752.96
5. Step 5: Solve for x
   x = 137,743,752.96/16,096.68
6. Step 6: Final answer
   x = 8,557.28