Finding the Fourth Proportional to 3,655.12, 5,042.82 and 2,082.10

Step by Step Solution

1. Step 1: Write the proportion equation
   3,655.12 : 5,042.82 = 2,082.10 : x
2. Step 2: Convert to fraction form
   3,655.12/5,042.82 = 2,082.10/x
3. Step 3: Cross multiply
   3,655.12x = 5,042.82 × 2,082.10
4. Step 4: Simplify right side
   3,655.12x = 10,499,655.52
5. Step 5: Solve for x
   x = 10,499,655.52/3,655.12
6. Step 6: Final answer
   x = 2,872.59