Finding the Fourth Proportional to 3,676.38, 5,072.96 and 2,083.20

Step by Step Solution

1. Step 1: Write the proportion equation
   3,676.38 : 5,072.96 = 2,083.20 : x
2. Step 2: Convert to fraction form
   3,676.38/5,072.96 = 2,083.20/x
3. Step 3: Cross multiply
   3,676.38x = 5,072.96 × 2,083.20
4. Step 4: Simplify right side
   3,676.38x = 10,567,990.27
5. Step 5: Solve for x
   x = 10,567,990.27/3,676.38
6. Step 6: Final answer
   x = 2,874.56