Provokingly prolong leaving troubled capital city? (4)

I believe the answer is:

kyiv

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'capital city?' is the definition.
I know nothing about this answer so I cannot tell whether it can be defined by this definition.

'provokingly prolong leaving troubled' is the wordplay.
'leaving' suggests deleting specific letters.
'troubled' indicates anagramming the letters.
'provokingly' with 'prolong' taken out is 'vkiy'.
'vkiy' anagrammed gives 'KYIV'.

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I've seen this clue in The Irish Times.

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