Finding the Fourth Proportional to 2,854.56, 4,282.20 and 1,122.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,854.56 : 4,282.20 = 1,122.78 : x
2. Step 2: Convert to fraction form
   2,854.56/4,282.20 = 1,122.78/x
3. Step 3: Cross multiply
   2,854.56x = 4,282.20 × 1,122.78
4. Step 4: Simplify right side
   2,854.56x = 4,807,968.52
5. Step 5: Solve for x
   x = 4,807,968.52/2,854.56
6. Step 6: Final answer
   x = 1,684.31