Finding the Fourth Proportional to 2,196.77, 3,294.36 and 809.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,196.77 : 3,294.36 = 809.80 : x
2. Step 2: Convert to fraction form
   2,196.77/3,294.36 = 809.80/x
3. Step 3: Cross multiply
   2,196.77x = 3,294.36 × 809.80
4. Step 4: Simplify right side
   2,196.77x = 2,667,764.49
5. Step 5: Solve for x
   x = 2,667,764.49/2,196.77
6. Step 6: Final answer
   x = 1,214.41