Here are some examples:
* The king proclaimed a new law. (He formally announced it to the public.)
* The protesters proclaimed their dissatisfaction with the government. (They made their feelings known in a public way.)
* The judge proclaimed the defendant guilty. (The judge made an official decision known in the courtroom.)
"Proclaimed" can also be used figuratively to describe something that is very obvious or easily recognizable.
* His smile proclaimed his happiness. (His smile clearly showed he was happy.)
* The city's skyline proclaimed its modernity. (The skyline was a clear sign of the city's modern architecture.)
Essentially, when something is "proclaimed," it's being communicated in a clear and powerful way, leaving no doubt about what is being stated.