Finding the Fourth Proportional to 3,784.37, 5,222.70 and 2,105.91

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.37 : 5,222.70 = 2,105.91 : x
2. Step 2: Convert to fraction form
   3,784.37/5,222.70 = 2,105.91/x
3. Step 3: Cross multiply
   3,784.37x = 5,222.70 × 2,105.91
4. Step 4: Simplify right side
   3,784.37x = 10,998,536.16
5. Step 5: Solve for x
   x = 10,998,536.16/3,784.37
6. Step 6: Final answer
   x = 2,906.31