Finding the Fourth Proportional to 1,033.80, 1,426.71 and 585.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,033.80 : 1,426.71 = 585.78 : x
2. Step 2: Convert to fraction form
   1,033.80/1,426.71 = 585.78/x
3. Step 3: Cross multiply
   1,033.80x = 1,426.71 × 585.78
4. Step 4: Simplify right side
   1,033.80x = 835,738.18
5. Step 5: Solve for x
   x = 835,738.18/1,033.80
6. Step 6: Final answer
   x = 808.41