Finding the Fourth Proportional to 3,653.68, 5,042.52 and 2,082.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,653.68 : 5,042.52 = 2,082.16 : x
2. Step 2: Convert to fraction form
   3,653.68/5,042.52 = 2,082.16/x
3. Step 3: Cross multiply
   3,653.68x = 5,042.52 × 2,082.16
4. Step 4: Simplify right side
   3,653.68x = 10,499,333.44
5. Step 5: Solve for x
   x = 10,499,333.44/3,653.68
6. Step 6: Final answer
   x = 2,873.63