Finding the Fourth Proportional to 3,784.33, 5,222.44 and 2,105.80

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.33 : 5,222.44 = 2,105.80 : x
2. Step 2: Convert to fraction form
   3,784.33/5,222.44 = 2,105.80/x
3. Step 3: Cross multiply
   3,784.33x = 5,222.44 × 2,105.80
4. Step 4: Simplify right side
   3,784.33x = 10,997,433.10
5. Step 5: Solve for x
   x = 10,997,433.10/3,784.33
6. Step 6: Final answer
   x = 2,906.05