Finding the Fourth Proportional to 3,684.13, 5,083.94 and 2,005.54

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684.13 : 5,083.94 = 2,005.54 : x
2. Step 2: Convert to fraction form
   3,684.13/5,083.94 = 2,005.54/x
3. Step 3: Cross multiply
   3,684.13x = 5,083.94 × 2,005.54
4. Step 4: Simplify right side
   3,684.13x = 10,196,045.03
5. Step 5: Solve for x
   x = 10,196,045.03/3,684.13
6. Step 6: Final answer
   x = 2,767.56