Finding the Fourth Proportional to 3,784.64, 5,222.75 and 2,105.91

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.64 : 5,222.75 = 2,105.91 : x
2. Step 2: Convert to fraction form
   3,784.64/5,222.75 = 2,105.91/x
3. Step 3: Cross multiply
   3,784.64x = 5,222.75 × 2,105.91
4. Step 4: Simplify right side
   3,784.64x = 10,998,630.92
5. Step 5: Solve for x
   x = 10,998,630.92/3,784.64
6. Step 6: Final answer
   x = 2,906.13