Finding the Fourth Proportional to 3,426.48, 5,142.15 and 3,096

Step by Step Solution

1. Step 1: Write the proportion equation
   3,426.48 : 5,142.15 = 3,096 : x
2. Step 2: Convert to fraction form
   3,426.48/5,142.15 = 3,096/x
3. Step 3: Cross multiply
   3,426.48x = 5,142.15 × 3,096
4. Step 4: Simplify right side
   3,426.48x = 15,920,096.40
5. Step 5: Solve for x
   x = 15,920,096.40/3,426.48
6. Step 6: Final answer
   x = 4,646.20