Finding the Fourth Proportional to 2,770.12, 4,155.22 and 822.34

Step by Step Solution

1. Step 1: Write the proportion equation
   2,770.12 : 4,155.22 = 822.34 : x
2. Step 2: Convert to fraction form
   2,770.12/4,155.22 = 822.34/x
3. Step 3: Cross multiply
   2,770.12x = 4,155.22 × 822.34
4. Step 4: Simplify right side
   2,770.12x = 3,417,003.61
5. Step 5: Solve for x
   x = 3,417,003.61/2,770.12
6. Step 6: Final answer
   x = 1,233.52