Finding the Fourth Proportional to 1,064.76, 1,596.78 and 516.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.76 : 1,596.78 = 516.59 : x
2. Step 2: Convert to fraction form
   1,064.76/1,596.78 = 516.59/x
3. Step 3: Cross multiply
   1,064.76x = 1,596.78 × 516.59
4. Step 4: Simplify right side
   1,064.76x = 824,878.58
5. Step 5: Solve for x
   x = 824,878.58/1,064.76
6. Step 6: Final answer
   x = 774.71