Finding the Fourth Proportional to 2,141.29, 3,211.60 and 680.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.29 : 3,211.60 = 680.25 : x
2. Step 2: Convert to fraction form
   2,141.29/3,211.60 = 680.25/x
3. Step 3: Cross multiply
   2,141.29x = 3,211.60 × 680.25
4. Step 4: Simplify right side
   2,141.29x = 2,184,690.90
5. Step 5: Solve for x
   x = 2,184,690.90/2,141.29
6. Step 6: Final answer
   x = 1,020.27