Finding the Fourth Proportional to 16,096.80, 24,149.76 and 5,709.60

Step by Step Solution

1. Step 1: Write the proportion equation
   16,096.80 : 24,149.76 = 5,709.60 : x
2. Step 2: Convert to fraction form
   16,096.80/24,149.76 = 5,709.60/x
3. Step 3: Cross multiply
   16,096.80x = 24,149.76 × 5,709.60
4. Step 4: Simplify right side
   16,096.80x = 137,885,469.70
5. Step 5: Solve for x
   x = 137,885,469.70/16,096.80
6. Step 6: Final answer
   x = 8,566.02