Finding the Fourth Proportional to 2,671.42, 4,007.18 and 822.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,671.42 : 4,007.18 = 822.55 : x
2. Step 2: Convert to fraction form
   2,671.42/4,007.18 = 822.55/x
3. Step 3: Cross multiply
   2,671.42x = 4,007.18 × 822.55
4. Step 4: Simplify right side
   2,671.42x = 3,296,097.95
5. Step 5: Solve for x
   x = 3,296,097.95/2,671.42
6. Step 6: Final answer
   x = 1,233.84