Finding the Fourth Proportional to 2,582.48, 3,871.60 and 1,120.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,582.48 : 3,871.60 = 1,120.56 : x
2. Step 2: Convert to fraction form
   2,582.48/3,871.60 = 1,120.56/x
3. Step 3: Cross multiply
   2,582.48x = 3,871.60 × 1,120.56
4. Step 4: Simplify right side
   2,582.48x = 4,338,360.10
5. Step 5: Solve for x
   x = 4,338,360.10/2,582.48
6. Step 6: Final answer
   x = 1,679.92