Finding the Fourth Proportional to 3,653.98, 5,042.42 and 2,082.04

Step by Step Solution

1. Step 1: Write the proportion equation
   3,653.98 : 5,042.42 = 2,082.04 : x
2. Step 2: Convert to fraction form
   3,653.98/5,042.42 = 2,082.04/x
3. Step 3: Cross multiply
   3,653.98x = 5,042.42 × 2,082.04
4. Step 4: Simplify right side
   3,653.98x = 10,498,520.14
5. Step 5: Solve for x
   x = 10,498,520.14/3,653.98
6. Step 6: Final answer
   x = 2,873.17