The adjective rules are slightly different. Read this and it will be very easy to memorize the rules: http://www.nthuleen.com/teach/grammar/adjektivendungenexpl.html
You can also memorize a set of words for the second, third and fourth case. For example 3rd: Mit nach nebst samt bei seit von zu zuwider ausser aus gemäss entgegen gegenüber
If you memorize these and you use it in a sentence like the one above, it is really easy to apply because 3rd case belongs to "mit". But it is nicer to understand the rules :-)
It is a good chart, but there is a differece with other rules when there is not an article in front of the adjective. that chart say that we must add der-words, but there is differences only in Genitive with other charts -en, -er, en -er for male, female, neutral and plural and i am confused.