Finding the Fourth Proportional to 2,569.58, 3,853.22 and 814.08

Step by Step Solution

1. Step 1: Write the proportion equation
   2,569.58 : 3,853.22 = 814.08 : x
2. Step 2: Convert to fraction form
   2,569.58/3,853.22 = 814.08/x
3. Step 3: Cross multiply
   2,569.58x = 3,853.22 × 814.08
4. Step 4: Simplify right side
   2,569.58x = 3,136,825.27
5. Step 5: Solve for x
   x = 3,136,825.27/2,569.58
6. Step 6: Final answer
   x = 1,220.76