Finding the Fourth Proportional to 1,738.52, 2,608.56 and 764.90

Step by Step Solution

1. Step 1: Write the proportion equation
   1,738.52 : 2,608.56 = 764.90 : x
2. Step 2: Convert to fraction form
   1,738.52/2,608.56 = 764.90/x
3. Step 3: Cross multiply
   1,738.52x = 2,608.56 × 764.90
4. Step 4: Simplify right side
   1,738.52x = 1,995,287.54
5. Step 5: Solve for x
   x = 1,995,287.54/1,738.52
6. Step 6: Final answer
   x = 1,147.69