Finding the Fourth Proportional to 2,142.14, 3,213.17 and 681.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,142.14 : 3,213.17 = 681.27 : x
2. Step 2: Convert to fraction form
   2,142.14/3,213.17 = 681.27/x
3. Step 3: Cross multiply
   2,142.14x = 3,213.17 × 681.27
4. Step 4: Simplify right side
   2,142.14x = 2,189,023.42
5. Step 5: Solve for x
   x = 2,189,023.42/2,142.14
6. Step 6: Final answer
   x = 1,021.89