Finding the Fourth Proportional to 2,769.78, 4,155.15 and 822.18

Step by Step Solution

1. Step 1: Write the proportion equation
   2,769.78 : 4,155.15 = 822.18 : x
2. Step 2: Convert to fraction form
   2,769.78/4,155.15 = 822.18/x
3. Step 3: Cross multiply
   2,769.78x = 4,155.15 × 822.18
4. Step 4: Simplify right side
   2,769.78x = 3,416,281.23
5. Step 5: Solve for x
   x = 3,416,281.23/2,769.78
6. Step 6: Final answer
   x = 1,233.41