Finding the Fourth Proportional to 1,005.27, 1,387.27 and 585.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,005.27 : 1,387.27 = 585.86 : x
2. Step 2: Convert to fraction form
   1,005.27/1,387.27 = 585.86/x
3. Step 3: Cross multiply
   1,005.27x = 1,387.27 × 585.86
4. Step 4: Simplify right side
   1,005.27x = 812,746.00
5. Step 5: Solve for x
   x = 812,746.00/1,005.27
6. Step 6: Final answer
   x = 808.49