Finding the Fourth Proportional to 963.50, 1,443.86 and 823.86

Step by Step Solution

1. Step 1: Write the proportion equation
   963.50 : 1,443.86 = 823.86 : x
2. Step 2: Convert to fraction form
   963.50/1,443.86 = 823.86/x
3. Step 3: Cross multiply
   963.50x = 1,443.86 × 823.86
4. Step 4: Simplify right side
   963.50x = 1,189,534.38
5. Step 5: Solve for x
   x = 1,189,534.38/963.50
6. Step 6: Final answer
   x = 1,234.59