Finding the Fourth Proportional to 1,005.72, 1,387.65 and 585.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.72 : 1,387.65 = 585.82 : x
2. Step 2: Convert to fraction form
   1,005.72/1,387.65 = 585.82/x
3. Step 3: Cross multiply
   1,005.72x = 1,387.65 × 585.82
4. Step 4: Simplify right side
   1,005.72x = 812,913.12
5. Step 5: Solve for x
   x = 812,913.12/1,005.72
6. Step 6: Final answer
   x = 808.29