This is the 17380th most frequent Russian word.
текущему
"Текущему" means "to the current" or "to the ongoing" in English.
In this sentence, "текущему" is used as an adjective in the dative case, describing the word "проекту" as something ongoing or current.
Мы приступили ко всем задачам, кроме текущему проекту.
We have addressed all the tasks except for the ongoing project.
"Текущему" here describes "состоянию", meaning the present or ongoing state, again used in the dative case to indicate focus or attention.
Внимание текущему состоянию системы помогает предотвращать проблемы.
Attention to the current state of the system helps to prevent issues.
"Текущему" indicates the year being current or this year, and is used in the dative case to describe a temporal reference.