Finding the Fourth Proportional to 2,076.42, 3,114.66 and 516.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,076.42 : 3,114.66 = 516.42 : x
2. Step 2: Convert to fraction form
   2,076.42/3,114.66 = 516.42/x
3. Step 3: Cross multiply
   2,076.42x = 3,114.66 × 516.42
4. Step 4: Simplify right side
   2,076.42x = 1,608,472.72
5. Step 5: Solve for x
   x = 1,608,472.72/2,076.42
6. Step 6: Final answer
   x = 774.64