Finding the Fourth Proportional to 1,296.57, 1,789.59 and 772.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,296.57 : 1,789.59 = 772.50 : x
2. Step 2: Convert to fraction form
   1,296.57/1,789.59 = 772.50/x
3. Step 3: Cross multiply
   1,296.57x = 1,789.59 × 772.50
4. Step 4: Simplify right side
   1,296.57x = 1,382,458.28
5. Step 5: Solve for x
   x = 1,382,458.28/1,296.57
6. Step 6: Final answer
   x = 1,066.24