Finding the Fourth Proportional to 1,028.02, 1,418.59 and 585.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.02 : 1,418.59 = 585.83 : x
2. Step 2: Convert to fraction form
   1,028.02/1,418.59 = 585.83/x
3. Step 3: Cross multiply
   1,028.02x = 1,418.59 × 585.83
4. Step 4: Simplify right side
   1,028.02x = 831,054.66
5. Step 5: Solve for x
   x = 831,054.66/1,028.02
6. Step 6: Final answer
   x = 808.41