Finding the Fourth Proportional to 2,227.06, 3,339.74 and 765.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,227.06 : 3,339.74 = 765.82 : x
2. Step 2: Convert to fraction form
   2,227.06/3,339.74 = 765.82/x
3. Step 3: Cross multiply
   2,227.06x = 3,339.74 × 765.82
4. Step 4: Simplify right side
   2,227.06x = 2,557,639.69
5. Step 5: Solve for x
   x = 2,557,639.69/2,227.06
6. Step 6: Final answer
   x = 1,148.44