Finding the Fourth Proportional to 3,683.50, 5,083.14 and 2,004.87

Step by Step Solution

1. Step 1: Write the proportion equation
   3,683.50 : 5,083.14 = 2,004.87 : x
2. Step 2: Convert to fraction form
   3,683.50/5,083.14 = 2,004.87/x
3. Step 3: Cross multiply
   3,683.50x = 5,083.14 × 2,004.87
4. Step 4: Simplify right side
   3,683.50x = 10,191,034.89
5. Step 5: Solve for x
   x = 10,191,034.89/3,683.50
6. Step 6: Final answer
   x = 2,766.67