Finding the Fourth Proportional to 2,141.16, 3,211.12 and 824.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.16 : 3,211.12 = 824.80 : x
2. Step 2: Convert to fraction form
   2,141.16/3,211.12 = 824.80/x
3. Step 3: Cross multiply
   2,141.16x = 3,211.12 × 824.80
4. Step 4: Simplify right side
   2,141.16x = 2,648,531.78
5. Step 5: Solve for x
   x = 2,648,531.78/2,141.16
6. Step 6: Final answer
   x = 1,236.96