Finding the Fourth Proportional to 2,196.55, 3,293.74 and 809.83

Step by Step Solution

1. Step 1: Write the proportion equation
   2,196.55 : 3,293.74 = 809.83 : x
2. Step 2: Convert to fraction form
   2,196.55/3,293.74 = 809.83/x
3. Step 3: Cross multiply
   2,196.55x = 3,293.74 × 809.83
4. Step 4: Simplify right side
   2,196.55x = 2,667,369.46
5. Step 5: Solve for x
   x = 2,667,369.46/2,196.55
6. Step 6: Final answer
   x = 1,214.34