Finding the Fourth Proportional to 2,082.84, 2,874.33 and 1,198.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.84 : 2,874.33 = 1,198.92 : x
2. Step 2: Convert to fraction form
   2,082.84/2,874.33 = 1,198.92/x
3. Step 3: Cross multiply
   2,082.84x = 2,874.33 × 1,198.92
4. Step 4: Simplify right side
   2,082.84x = 3,446,091.72
5. Step 5: Solve for x
   x = 3,446,091.72/2,082.84
6. Step 6: Final answer
   x = 1,654.52