Finding the Fourth Proportional to 1,085.43, 1,496.75 and 805.23

Step by Step Solution

1. Step 1: Write the proportion equation
   1,085.43 : 1,496.75 = 805.23 : x
2. Step 2: Convert to fraction form
   1,085.43/1,496.75 = 805.23/x
3. Step 3: Cross multiply
   1,085.43x = 1,496.75 × 805.23
4. Step 4: Simplify right side
   1,085.43x = 1,205,223.98
5. Step 5: Solve for x
   x = 1,205,223.98/1,085.43
6. Step 6: Final answer
   x = 1,110.37