Finding the Fourth Proportional to 2,097.57, 3,146.31 and 516.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,097.57 : 3,146.31 = 516.27 : x
2. Step 2: Convert to fraction form
   2,097.57/3,146.31 = 516.27/x
3. Step 3: Cross multiply
   2,097.57x = 3,146.31 × 516.27
4. Step 4: Simplify right side
   2,097.57x = 1,624,345.46
5. Step 5: Solve for x
   x = 1,624,345.46/2,097.57
6. Step 6: Final answer
   x = 774.39