Finding the Fourth Proportional to 822.83, 1,238.18 and 677.61

Step by Step Solution

1. Step 1: Write the proportion equation
   822.83 : 1,238.18 = 677.61 : x
2. Step 2: Convert to fraction form
   822.83/1,238.18 = 677.61/x
3. Step 3: Cross multiply
   822.83x = 1,238.18 × 677.61
4. Step 4: Simplify right side
   822.83x = 838,999.76
5. Step 5: Solve for x
   x = 838,999.76/822.83
6. Step 6: Final answer
   x = 1,019.66