Finding the Fourth Proportional to 3,429.72, 5,142.42 and 2,258.46

Step by Step Solution

1. Step 1: Write the proportion equation
   3,429.72 : 5,142.42 = 2,258.46 : x
2. Step 2: Convert to fraction form
   3,429.72/5,142.42 = 2,258.46/x
3. Step 3: Cross multiply
   3,429.72x = 5,142.42 × 2,258.46
4. Step 4: Simplify right side
   3,429.72x = 11,613,949.87
5. Step 5: Solve for x
   x = 11,613,949.87/3,429.72
6. Step 6: Final answer
   x = 3,386.27