I am a quite fluent ... - incorrect I am quite a fluent ... - correct 'Quite' differs from other similar modifiers. For example, 'pretty' comes after the article and before the adjective - I am a pretty fluent ... - and only this position is correct. However,'rather' can come in either position - I am a rather fluent ... / I am rather a fluent. 'Quite' can only come before the article - I am quite a fluent ... - and only this position is correct.

Neither expression is natural or accurate. I speak fluently. (I use words well) I’m a good public speaker. (My voice is interesting and attractive to a large audience.)

The difference lies in word order and emphasis, but both are grammatically correct: 1. "I am a quite fluent public speaker." - This sounds slightly unnatural in modern English because "quite" rarely comes before an adjective in this context. - It emphasizes "quite fluent" more directly. 2. "I am quite a fluent public speaker." - This is the more natural phrasing. - It emphasizes how impressive your fluency is as a public speaker. Tip: Use "quite a [adjective] [noun]" for more natural and polished English.

The first is incorrect grammar. The second is correct grammar.

Both are perfect. To decide which one to use, ask yourself which of these ideas you would rather emphasize: 1 - I am quite a speaker 2 - I am quite fluent If #1 is more important, use the first sentence. If #2 is more important, use the second.