Finding the Fourth Proportional to 2,082.80, 2,874.18 and 1,138.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.80 : 2,874.18 = 1,138.55 : x
2. Step 2: Convert to fraction form
   2,082.80/2,874.18 = 1,138.55/x
3. Step 3: Cross multiply
   2,082.80x = 2,874.18 × 1,138.55
4. Step 4: Simplify right side
   2,082.80x = 3,272,397.30
5. Step 5: Solve for x
   x = 3,272,397.30/2,082.80
6. Step 6: Final answer
   x = 1,571.15