Finding the Fourth Proportional to 3,784.22, 5,222.37 and 2,105.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.22 : 5,222.37 = 2,105.56 : x
2. Step 2: Convert to fraction form
   3,784.22/5,222.37 = 2,105.56/x
3. Step 3: Cross multiply
   3,784.22x = 5,222.37 × 2,105.56
4. Step 4: Simplify right side
   3,784.22x = 10,996,013.38
5. Step 5: Solve for x
   x = 10,996,013.38/3,784.22
6. Step 6: Final answer
   x = 2,905.75