Finding the Fourth Proportional to 3,653.94, 5,042.70 and 2,082.14

Step by Step Solution

1. Step 1: Write the proportion equation
   3,653.94 : 5,042.70 = 2,082.14 : x
2. Step 2: Convert to fraction form
   3,653.94/5,042.70 = 2,082.14/x
3. Step 3: Cross multiply
   3,653.94x = 5,042.70 × 2,082.14
4. Step 4: Simplify right side
   3,653.94x = 10,499,582.16
5. Step 5: Solve for x
   x = 10,499,582.16/3,653.94
6. Step 6: Final answer
   x = 2,873.50