Finding the Fourth Proportional to 5,648.24, 7,794.56 and 3,096

Step by Step Solution

1. Step 1: Write the proportion equation
   5,648.24 : 7,794.56 = 3,096 : x
2. Step 2: Convert to fraction form
   5,648.24/7,794.56 = 3,096/x
3. Step 3: Cross multiply
   5,648.24x = 7,794.56 × 3,096
4. Step 4: Simplify right side
   5,648.24x = 24,131,957.76
5. Step 5: Solve for x
   x = 24,131,957.76/5,648.24
6. Step 6: Final answer
   x = 4,272.47