As far as I'm concerned, "I give up" is synonymous with "Solved!" 
Not having enough to do, I performed a rudimentary search and found a few possible useful links, of course, they almost all says there's nothing to this task...so the problem is obviously at the keyboard user in front of your computer. 
<A 2007 page from MS>
<A chart from our brethren across the pond>
<from the Hallowed Halls of Penn State>
<This one may actually have a hint about how you can do this>
QUOTE
Macintosh
You can select a foreign keyboard layout by selecting one in the Keyboard control panel. Be aware that if you select the German layout, Y and Z are reversed according to U.S. layouts! This is a good cultural lesson, though: learn to type the way the Germans do. Umlaut letters are typed quickly and easily with one keystroke.
Frankly, only that last site offered any suggestions about a "Ź", all the others concentrated on vowels.
QUOTE
I'll have to try this with the Polish keyboard
Be careful! I know who won't get within ten feet of those!
Interesting. I was able to print it after using Character Viewer. Which word processing program are you using? MS Word 2008 can handle the printing part of it but maybe another program can't.
John, I was using Microsoft Word X.
"Great minds?" I thought about PopChar just this morning, also. The problem with it is making sure you have the correct font selected in it and the app. While it is relatively easy to change the font in PopChar, I don't think it can always over-ride the one in the other app. Or It may be the way I have it set up or the app that I often use that is not Unicode capable. Or it may be that Sun tornado thing... eek2.gif
Jim, I was
the same thing about the font.
So, you aren't upset that I compared our minds as somewhat
equal?

What? Not superior?