Finding the Fourth Proportional to 1,296.78, 1,789.71 and 737.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,296.78 : 1,789.71 = 737.33 : x
2. Step 2: Convert to fraction form
   1,296.78/1,789.71 = 737.33/x
3. Step 3: Cross multiply
   1,296.78x = 1,789.71 × 737.33
4. Step 4: Simplify right side
   1,296.78x = 1,319,614.01
5. Step 5: Solve for x
   x = 1,319,614.01/1,296.78
6. Step 6: Final answer
   x = 1,017.61