Finding the Fourth Proportional to 2,782.96, 4,174.71 and 1,028.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.96 : 4,174.71 = 1,028.42 : x
2. Step 2: Convert to fraction form
   2,782.96/4,174.71 = 1,028.42/x
3. Step 3: Cross multiply
   2,782.96x = 4,174.71 × 1,028.42
4. Step 4: Simplify right side
   2,782.96x = 4,293,366.60
5. Step 5: Solve for x
   x = 4,293,366.60/2,782.96
6. Step 6: Final answer
   x = 1,542.74