Finding the Fourth Proportional to 2,852.33, 4,278.32 and 772.29

Step by Step Solution

1. Step 1: Write the proportion equation
   2,852.33 : 4,278.32 = 772.29 : x
2. Step 2: Convert to fraction form
   2,852.33/4,278.32 = 772.29/x
3. Step 3: Cross multiply
   2,852.33x = 4,278.32 × 772.29
4. Step 4: Simplify right side
   2,852.33x = 3,304,099.89
5. Step 5: Solve for x
   x = 3,304,099.89/2,852.33
6. Step 6: Final answer
   x = 1,158.39