Finding the Fourth Proportional to 2,141.41, 3,212.63 and 680.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.41 : 3,212.63 = 680.57 : x
2. Step 2: Convert to fraction form
   2,141.41/3,212.63 = 680.57/x
3. Step 3: Cross multiply
   2,141.41x = 3,212.63 × 680.57
4. Step 4: Simplify right side
   2,141.41x = 2,186,411.57
5. Step 5: Solve for x
   x = 2,186,411.57/2,141.41
6. Step 6: Final answer
   x = 1,021.01