Finding the Fourth Proportional to 2,082.74, 2,874.76 and 1,198.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.74 : 2,874.76 = 1,198.82 : x
2. Step 2: Convert to fraction form
   2,082.74/2,874.76 = 1,198.82/x
3. Step 3: Cross multiply
   2,082.74x = 2,874.76 × 1,198.82
4. Step 4: Simplify right side
   2,082.74x = 3,446,319.78
5. Step 5: Solve for x
   x = 3,446,319.78/2,082.74
6. Step 6: Final answer
   x = 1,654.70