Finding the Fourth Proportional to 3,682.82, 5,082.20 and 2,004.23

Step by Step Solution

1. Step 1: Write the proportion equation
   3,682.82 : 5,082.20 = 2,004.23 : x
2. Step 2: Convert to fraction form
   3,682.82/5,082.20 = 2,004.23/x
3. Step 3: Cross multiply
   3,682.82x = 5,082.20 × 2,004.23
4. Step 4: Simplify right side
   3,682.82x = 10,185,862.27
5. Step 5: Solve for x
   x = 10,185,862.27/3,682.82
6. Step 6: Final answer
   x = 2,765.78