Step 1 :The monthly loan payment is already given as $286.72.
Step 2 :The cost of car insurance is given for 6 months, so we need to divide this by 6 to get the monthly cost. \(\frac{668.73}{6} = 111.455\)
Step 3 :The estimated fuel cost per month is given as $205.
Step 4 :The cost for repairs and maintenance is given per year, so we need to divide this by 12 to get the monthly cost. \(\frac{800}{12} = 66.67\)
Step 5 :After calculating these individual costs, we can add them together to get the total monthly budget for car expenses. \(286.72 + 111.455 + 205 + 66.67 = 669.845\)
Step 6 :Final Answer: Eleanor should budget approximately \(\boxed{669.84}\) per month for car expenses.