Finding the Fourth Proportional to 2,141.97, 3,212.51 and 680.78

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.97 : 3,212.51 = 680.78 : x
2. Step 2: Convert to fraction form
   2,141.97/3,212.51 = 680.78/x
3. Step 3: Cross multiply
   2,141.97x = 3,212.51 × 680.78
4. Step 4: Simplify right side
   2,141.97x = 2,186,993.09
5. Step 5: Solve for x
   x = 2,186,993.09/2,141.97
6. Step 6: Final answer
   x = 1,021.02