Finding the Fourth Proportional to 2,123.10, 3,183.84 and 824.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,123.10 : 3,183.84 = 824.27 : x
2. Step 2: Convert to fraction form
   2,123.10/3,183.84 = 824.27/x
3. Step 3: Cross multiply
   2,123.10x = 3,183.84 × 824.27
4. Step 4: Simplify right side
   2,123.10x = 2,624,327.88
5. Step 5: Solve for x
   x = 2,624,327.88/2,123.10
6. Step 6: Final answer
   x = 1,236.08