Finding the Fourth Proportional to 3,784.43, 5,222.36 and 2,105.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.43 : 5,222.36 = 2,105.78 : x
2. Step 2: Convert to fraction form
   3,784.43/5,222.36 = 2,105.78/x
3. Step 3: Cross multiply
   3,784.43x = 5,222.36 × 2,105.78
4. Step 4: Simplify right side
   3,784.43x = 10,997,141.24
5. Step 5: Solve for x
   x = 10,997,141.24/3,784.43
6. Step 6: Final answer
   x = 2,905.89