Finding the Fourth Proportional to 1,738.74, 2,608.96 and 764.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,738.74 : 2,608.96 = 764.72 : x
2. Step 2: Convert to fraction form
   1,738.74/2,608.96 = 764.72/x
3. Step 3: Cross multiply
   1,738.74x = 2,608.96 × 764.72
4. Step 4: Simplify right side
   1,738.74x = 1,995,123.89
5. Step 5: Solve for x
   x = 1,995,123.89/1,738.74
6. Step 6: Final answer
   x = 1,147.45