Finding the Fourth Proportional to 2,141.34, 3,212.11 and 680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.34 : 3,212.11 = 680.50 : x
2. Step 2: Convert to fraction form
   2,141.34/3,212.11 = 680.50/x
3. Step 3: Cross multiply
   2,141.34x = 3,212.11 × 680.50
4. Step 4: Simplify right side
   2,141.34x = 2,185,841.89
5. Step 5: Solve for x
   x = 2,185,841.89/2,141.34
6. Step 6: Final answer
   x = 1,020.78