Finding the Fourth Proportional to 2,152.06, 3,227.49 and 765.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.06 : 3,227.49 = 765.22 : x
2. Step 2: Convert to fraction form
   2,152.06/3,227.49 = 765.22/x
3. Step 3: Cross multiply
   2,152.06x = 3,227.49 × 765.22
4. Step 4: Simplify right side
   2,152.06x = 2,469,739.90
5. Step 5: Solve for x
   x = 2,469,739.90/2,152.06
6. Step 6: Final answer
   x = 1,147.62