Finding the Fourth Proportional to 3,683.85, 5,083.82 and 2,005.37

Step by Step Solution

1. Step 1: Write the proportion equation
   3,683.85 : 5,083.82 = 2,005.37 : x
2. Step 2: Convert to fraction form
   3,683.85/5,083.82 = 2,005.37/x
3. Step 3: Cross multiply
   3,683.85x = 5,083.82 × 2,005.37
4. Step 4: Simplify right side
   3,683.85x = 10,194,914.69
5. Step 5: Solve for x
   x = 10,194,914.69/3,683.85
6. Step 6: Final answer
   x = 2,767.46