Finding the Fourth Proportional to 1,296.82, 1,789.94 and 772.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,296.82 : 1,789.94 = 772.75 : x
2. Step 2: Convert to fraction form
   1,296.82/1,789.94 = 772.75/x
3. Step 3: Cross multiply
   1,296.82x = 1,789.94 × 772.75
4. Step 4: Simplify right side
   1,296.82x = 1,383,172.27
5. Step 5: Solve for x
   x = 1,383,172.27/1,296.82
6. Step 6: Final answer
   x = 1,066.59