Finding the Fourth Proportional to 1,064.78, 1,597.29 and 516.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.78 : 1,597.29 = 516.56 : x
2. Step 2: Convert to fraction form
   1,064.78/1,597.29 = 516.56/x
3. Step 3: Cross multiply
   1,064.78x = 1,597.29 × 516.56
4. Step 4: Simplify right side
   1,064.78x = 825,093.54
5. Step 5: Solve for x
   x = 825,093.54/1,064.78
6. Step 6: Final answer
   x = 774.90