Finding the Fourth Proportional to 2,582.49, 3,871.56 and 1,120.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.49 : 3,871.56 = 1,120.55 : x
2. Step 2: Convert to fraction form
   2,582.49/3,871.56 = 1,120.55/x
3. Step 3: Cross multiply
   2,582.49x = 3,871.56 × 1,120.55
4. Step 4: Simplify right side
   2,582.49x = 4,338,261.40
5. Step 5: Solve for x
   x = 4,338,261.40/2,582.49
6. Step 6: Final answer
   x = 1,679.87