Finding the Fourth Proportional to 2,141.82, 3,213 and 680.45

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.82 : 3,213 = 680.45 : x
2. Step 2: Convert to fraction form
   2,141.82/3,213 = 680.45/x
3. Step 3: Cross multiply
   2,141.82x = 3,213 × 680.45
4. Step 4: Simplify right side
   2,141.82x = 2,186,269.79
5. Step 5: Solve for x
   x = 2,186,269.79/2,141.82
6. Step 6: Final answer
   x = 1,020.75