Finding the Fourth Proportional to 3,676.46, 5,073.77 and 2,083.09

Step by Step Solution

1. Step 1: Write the proportion equation
   3,676.46 : 5,073.77 = 2,083.09 : x
2. Step 2: Convert to fraction form
   3,676.46/5,073.77 = 2,083.09/x
3. Step 3: Cross multiply
   3,676.46x = 5,073.77 × 2,083.09
4. Step 4: Simplify right side
   3,676.46x = 10,569,109.13
5. Step 5: Solve for x
   x = 10,569,109.13/3,676.46
6. Step 6: Final answer
   x = 2,874.81