Finding the Fourth Proportional to 3,676.78, 5,074.68 and 2,105.92

Step by Step Solution

1. Step 1: Write the proportion equation
   3,676.78 : 5,074.68 = 2,105.92 : x
2. Step 2: Convert to fraction form
   3,676.78/5,074.68 = 2,105.92/x
3. Step 3: Cross multiply
   3,676.78x = 5,074.68 × 2,105.92
4. Step 4: Simplify right side
   3,676.78x = 10,686,870.11
5. Step 5: Solve for x
   x = 10,686,870.11/3,676.78
6. Step 6: Final answer
   x = 2,906.58