Answer:
3 months
Explanation:
If your fixed expenses are 30% of your realized income we can determine how much money you spend on expense a months as:

So you spend $625.63 which is fixed expense, therefore the remaining amount that you have after expenses:

If you want to save 50% of the rest of your money = 1459.81=$729.904 each month you will save 6*729.904=$4379.424
For an emergency fund we assume that you want to save as much as one realized income a month. There it will take:
=2085/729.904 = 2.85
therefore it will take 3 months