Finding the Fourth Proportional to 2,123.32, 3,183.75 and 823.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.32 : 3,183.75 = 823.27 : x
2. Step 2: Convert to fraction form
   2,123.32/3,183.75 = 823.27/x
3. Step 3: Cross multiply
   2,123.32x = 3,183.75 × 823.27
4. Step 4: Simplify right side
   2,123.32x = 2,621,085.86
5. Step 5: Solve for x
   x = 2,621,085.86/2,123.32
6. Step 6: Final answer
   x = 1,234.43