Finding the Fourth Proportional to 1,296.63, 1,944.57 and 516.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,296.63 : 1,944.57 = 516.27 : x
2. Step 2: Convert to fraction form
   1,296.63/1,944.57 = 516.27/x
3. Step 3: Cross multiply
   1,296.63x = 1,944.57 × 516.27
4. Step 4: Simplify right side
   1,296.63x = 1,003,923.15
5. Step 5: Solve for x
   x = 1,003,923.15/1,296.63
6. Step 6: Final answer
   x = 774.26