Finding the Fourth Proportional to 3,874.23, 5,346.46 and 2,105.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,874.23 : 5,346.46 = 2,105.83 : x
2. Step 2: Convert to fraction form
   3,874.23/5,346.46 = 2,105.83/x
3. Step 3: Cross multiply
   3,874.23x = 5,346.46 × 2,105.83
4. Step 4: Simplify right side
   3,874.23x = 11,258,735.86
5. Step 5: Solve for x
   x = 11,258,735.86/3,874.23
6. Step 6: Final answer
   x = 2,906.06