Finding the Fourth Proportional to 2,942.28, 4,055.47 and 2,864.37

Step by Step Solution

1. Step 1: Write the proportion equation
   2,942.28 : 4,055.47 = 2,864.37 : x
2. Step 2: Convert to fraction form
   2,942.28/4,055.47 = 2,864.37/x
3. Step 3: Cross multiply
   2,942.28x = 4,055.47 × 2,864.37
4. Step 4: Simplify right side
   2,942.28x = 11,616,386.96
5. Step 5: Solve for x
   x = 11,616,386.96/2,942.28
6. Step 6: Final answer
   x = 3,948.08