Finding the Fourth Proportional to 3,676.92, 5,074.56 and 2,105.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,676.92 : 5,074.56 = 2,105.30 : x
2. Step 2: Convert to fraction form
   3,676.92/5,074.56 = 2,105.30/x
3. Step 3: Cross multiply
   3,676.92x = 5,074.56 × 2,105.30
4. Step 4: Simplify right side
   3,676.92x = 10,683,471.17
5. Step 5: Solve for x
   x = 10,683,471.17/3,676.92
6. Step 6: Final answer
   x = 2,905.55