Finding the Fourth Proportional to 3,784.24, 5,222.20 and 2,105.64

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.24 : 5,222.20 = 2,105.64 : x
2. Step 2: Convert to fraction form
   3,784.24/5,222.20 = 2,105.64/x
3. Step 3: Cross multiply
   3,784.24x = 5,222.20 × 2,105.64
4. Step 4: Simplify right side
   3,784.24x = 10,996,073.21
5. Step 5: Solve for x
   x = 10,996,073.21/3,784.24
6. Step 6: Final answer
   x = 2,905.75