Finding the Fourth Proportional to 2,196.13, 3,294.64 and 809.47

Step by Step Solution

1. Step 1: Write the proportion equation
   2,196.13 : 3,294.64 = 809.47 : x
2. Step 2: Convert to fraction form
   2,196.13/3,294.64 = 809.47/x
3. Step 3: Cross multiply
   2,196.13x = 3,294.64 × 809.47
4. Step 4: Simplify right side
   2,196.13x = 2,666,922.07
5. Step 5: Solve for x
   x = 2,666,922.07/2,196.13
6. Step 6: Final answer
   x = 1,214.37