Finding the Fourth Proportional to 2,082.62, 2,874.69 and 1,338.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.62 : 2,874.69 = 1,338.56 : x
2. Step 2: Convert to fraction form
   2,082.62/2,874.69 = 1,338.56/x
3. Step 3: Cross multiply
   2,082.62x = 2,874.69 × 1,338.56
4. Step 4: Simplify right side
   2,082.62x = 3,847,945.05
5. Step 5: Solve for x
   x = 3,847,945.05/2,082.62
6. Step 6: Final answer
   x = 1,847.65