ついに・とうとう
at last, finally; in the end
ついに / とうとう + final result
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ついに and とうとう mean "at last, finally", after a long time or a long process: 十年かかって、ついに夢がかなった, "after ten years, my dream finally came true".
Unlike やっと, which is only for good things you were waiting for, とうとう and ついに work for bad outcomes too: 待っていたけど、彼はとうとう来なかった, "I waited, but in the end he never came".
ついに is a little more dramatic and written; とうとう is more conversational.
Compare いよいよ, "at last (something is about to start)", which looks forward. ついに and とうとう mark the moment of arrival.
Examples
十年かかって、ついに夢がかなった。
After ten years, my dream finally came true.
長い工事がとうとう終わった。
The long construction work is finally over.
待っていたけど、彼はとうとう来なかった。
I waited, but in the end he never came.
ついに、明日から夏休みだ。
At last, the summer holidays start tomorrow.
何度も失敗したが、ついに成功した。
I failed many times, but I finally succeeded.