Finding the Fourth Proportional to 3,784.74, 5,222.79 and 2,105.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.74 : 5,222.79 = 2,105.88 : x
2. Step 2: Convert to fraction form
   3,784.74/5,222.79 = 2,105.88/x
3. Step 3: Cross multiply
   3,784.74x = 5,222.79 × 2,105.88
4. Step 4: Simplify right side
   3,784.74x = 10,998,569.01
5. Step 5: Solve for x
   x = 10,998,569.01/3,784.74
6. Step 6: Final answer
   x = 2,906.03