Finding the Fourth Proportional to 2,152.33, 3,227.43 and 765.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152.33 : 3,227.43 = 765.46 : x
2. Step 2: Convert to fraction form
   2,152.33/3,227.43 = 765.46/x
3. Step 3: Cross multiply
   2,152.33x = 3,227.43 × 765.46
4. Step 4: Simplify right side
   2,152.33x = 2,470,448.60
5. Step 5: Solve for x
   x = 2,470,448.60/2,152.33
6. Step 6: Final answer
   x = 1,147.80