Finding the Fourth Proportional to 3,784.20, 5,222.20 and 2,105.76

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.20 : 5,222.20 = 2,105.76 : x
2. Step 2: Convert to fraction form
   3,784.20/5,222.20 = 2,105.76/x
3. Step 3: Cross multiply
   3,784.20x = 5,222.20 × 2,105.76
4. Step 4: Simplify right side
   3,784.20x = 10,996,699.87
5. Step 5: Solve for x
   x = 10,996,699.87/3,784.20
6. Step 6: Final answer
   x = 2,905.95