Finding the Fourth Proportional to 1,027.31, 1,417.78 and 585.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,027.31 : 1,417.78 = 585.27 : x
2. Step 2: Convert to fraction form
   1,027.31/1,417.78 = 585.27/x
3. Step 3: Cross multiply
   1,027.31x = 1,417.78 × 585.27
4. Step 4: Simplify right side
   1,027.31x = 829,784.10
5. Step 5: Solve for x
   x = 829,784.10/1,027.31
6. Step 6: Final answer
   x = 807.73