Finding the Fourth Proportional to 3,949.34, 5,446.50 and 2,456.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,949.34 : 5,446.50 = 2,456.78 : x
2. Step 2: Convert to fraction form
   3,949.34/5,446.50 = 2,456.78/x
3. Step 3: Cross multiply
   3,949.34x = 5,446.50 × 2,456.78
4. Step 4: Simplify right side
   3,949.34x = 13,380,852.27
5. Step 5: Solve for x
   x = 13,380,852.27/3,949.34
6. Step 6: Final answer
   x = 3,388.12