Finding the Fourth Proportional to 3,683.00, 5,082.59 and 2,004.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,683.00 : 5,082.59 = 2,004.42 : x
2. Step 2: Convert to fraction form
   3,683.00/5,082.59 = 2,004.42/x
3. Step 3: Cross multiply
   3,683.00x = 5,082.59 × 2,004.42
4. Step 4: Simplify right side
   3,683.00x = 10,187,635.03
5. Step 5: Solve for x
   x = 10,187,635.03/3,683.00
6. Step 6: Final answer
   x = 2,766.12