Finding the Fourth Proportional to 3,683.25, 5,082.75 and 2,004.62

Step by Step Solution

1. Step 1: Write the proportion equation
   3,683.25 : 5,082.75 = 2,004.62 : x
2. Step 2: Convert to fraction form
   3,683.25/5,082.75 = 2,004.62/x
3. Step 3: Cross multiply
   3,683.25x = 5,082.75 × 2,004.62
4. Step 4: Simplify right side
   3,683.25x = 10,188,956.89
5. Step 5: Solve for x
   x = 10,188,956.89/3,683.25
6. Step 6: Final answer
   x = 2,766.30