Finding the Fourth Proportional to 2,082.50, 2,874.13 and 1,198.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,082.50 : 2,874.13 = 1,198.14 : x
2. Step 2: Convert to fraction form
   2,082.50/2,874.13 = 1,198.14/x
3. Step 3: Cross multiply
   2,082.50x = 2,874.13 × 1,198.14
4. Step 4: Simplify right side
   2,082.50x = 3,443,607.12
5. Step 5: Solve for x
   x = 3,443,607.12/2,082.50
6. Step 6: Final answer
   x = 1,653.59