Finding the Fourth Proportional to 1,005.33, 1,387.24 and 585.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.33 : 1,387.24 = 585.78 : x
2. Step 2: Convert to fraction form
   1,005.33/1,387.24 = 585.78/x
3. Step 3: Cross multiply
   1,005.33x = 1,387.24 × 585.78
4. Step 4: Simplify right side
   1,005.33x = 812,617.45
5. Step 5: Solve for x
   x = 812,617.45/1,005.33
6. Step 6: Final answer
   x = 808.31