Finding the Fourth Proportional to 2,123.33, 3,183.75 and 823.28

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.33 : 3,183.75 = 823.28 : x
2. Step 2: Convert to fraction form
   2,123.33/3,183.75 = 823.28/x
3. Step 3: Cross multiply
   2,123.33x = 3,183.75 × 823.28
4. Step 4: Simplify right side
   2,123.33x = 2,621,101.78
5. Step 5: Solve for x
   x = 2,621,101.78/2,123.33
6. Step 6: Final answer
   x = 1,234.43