Finding the Fourth Proportional to 3,678.92, 5,076.78 and 2,105.90

Step by Step Solution

1. Step 1: Write the proportion equation
   3,678.92 : 5,076.78 = 2,105.90 : x
2. Step 2: Convert to fraction form
   3,678.92/5,076.78 = 2,105.90/x
3. Step 3: Cross multiply
   3,678.92x = 5,076.78 × 2,105.90
4. Step 4: Simplify right side
   3,678.92x = 10,691,191.00
5. Step 5: Solve for x
   x = 10,691,191.00/3,678.92
6. Step 6: Final answer
   x = 2,906.07