Finding the Fourth Proportional to 3,683.20, 5,082.72 and 2,004.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,683.20 : 5,082.72 = 2,004.64 : x
2. Step 2: Convert to fraction form
   3,683.20/5,082.72 = 2,004.64/x
3. Step 3: Cross multiply
   3,683.20x = 5,082.72 × 2,004.64
4. Step 4: Simplify right side
   3,683.20x = 10,189,023.82
5. Step 5: Solve for x
   x = 10,189,023.82/3,683.20
6. Step 6: Final answer
   x = 2,766.35