Finding the Fourth Proportional to 1,456.57, 2,185.16 and 805.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.57 : 2,185.16 = 805.94 : x
2. Step 2: Convert to fraction form
   1,456.57/2,185.16 = 805.94/x
3. Step 3: Cross multiply
   1,456.57x = 2,185.16 × 805.94
4. Step 4: Simplify right side
   1,456.57x = 1,761,107.85
5. Step 5: Solve for x
   x = 1,761,107.85/1,456.57
6. Step 6: Final answer
   x = 1,209.08