Finding the Fourth Proportional to 2,227.08, 3,336.92 and 765.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,227.08 : 3,336.92 = 765.42 : x
2. Step 2: Convert to fraction form
   2,227.08/3,336.92 = 765.42/x
3. Step 3: Cross multiply
   2,227.08x = 3,336.92 × 765.42
4. Step 4: Simplify right side
   2,227.08x = 2,554,145.31
5. Step 5: Solve for x
   x = 2,554,145.31/2,227.08
6. Step 6: Final answer
   x = 1,146.86