I just had a quick look at it. The sharp turn you’re flying would in reality not be flown like this – among other reasons because it simply doesn’t allow enough space for you to turn and get established without overshooting the final. Several solutions come to mind:
Usually, you would be expected to fly one of the published standard arrival routes (STARs) connecting the airway you arrive from to the approach for your runway (for which there is another chart). When you search for “EDDM charts”, you will find them. However, especially for Munich they are quite complex with multiple transitions to allow for traffic spacing etc. And they assume that you will actually be arriving via the correct airway, so if you want to do it “properly”, you might have to use an external flight planner. That may be more than you bargained for if you’re not really into that kind of thing. If you’re not used to reading them, there may also be a steep learning curve. (In the long run, however, it may prove to be a welcome challenge. Plus, the charts will provide you with all the correct altitudes to safely and comfortably fly the approach. And they’re pretty much the same all over the world, so once you’ve gotten used to them, you’ll be able to land anywhere you like without any issues.)
The simplest, and still quite authentic solution would be to switch to heading mode before getting too close to the turn and simply fly a “rectangle”, like an elongated traffic pattern: first, fly a heading parallel to your final approach course (so about 080 in your case) until you have just passed GUDEG, then turn right by 90° (about heading 170) to intercept the final approach course. This is actually not that different to what an ATC controller might direct you to do if there is not much other traffic.
Additionally, even if you’re not much into checklists (which is absolutely fine – we’re all here to enjoy ourselves), it might be useful to know that the typical final approach speed for the CJ4 (of course depending on wind and weight) is just above 100 kts with full flaps extended. So – ideally – you would have selected flaps 15 by the time you start your turn and could then be significantly slower than you were in the video. With full flaps extended, even at higher weights, you should be able to fly safely at say 115–120 kts without getting into any complex calculations.
I hope that helps! Have fun, and happy landings!