Finding the Fourth Proportional to 2,514.32, 3,771.72 and 759.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,514.32 : 3,771.72 = 759.20 : x
2. Step 2: Convert to fraction form
   2,514.32/3,771.72 = 759.20/x
3. Step 3: Cross multiply
   2,514.32x = 3,771.72 × 759.20
4. Step 4: Simplify right side
   2,514.32x = 2,863,489.82
5. Step 5: Solve for x
   x = 2,863,489.82/2,514.32
6. Step 6: Final answer
   x = 1,138.87