Finding the Fourth Proportional to 3,429.54, 5,146.74 and 2,456.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,429.54 : 5,146.74 = 2,456.46 : x
2. Step 2: Convert to fraction form
   3,429.54/5,146.74 = 2,456.46/x
3. Step 3: Cross multiply
   3,429.54x = 5,146.74 × 2,456.46
4. Step 4: Simplify right side
   3,429.54x = 12,642,760.94
5. Step 5: Solve for x
   x = 12,642,760.94/3,429.54
6. Step 6: Final answer
   x = 3,686.43