Finding the Fourth Proportional to 1,064.94, 1,596.43 and 516.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,064.94 : 1,596.43 = 516.34 : x
2. Step 2: Convert to fraction form
   1,064.94/1,596.43 = 516.34/x
3. Step 3: Cross multiply
   1,064.94x = 1,596.43 × 516.34
4. Step 4: Simplify right side
   1,064.94x = 824,300.67
5. Step 5: Solve for x
   x = 824,300.67/1,064.94
6. Step 6: Final answer
   x = 774.03