Your question, "How did Prakasananda Sarasvati see or think that Lord Caitanya was the Lord Narayana Himself when he only realized Brahman?"—by personal audience of Lord Caitanya they could realize Him as Narayana because they were sincere in searching out the Absolute Truth. As it is confirmed in the Bhagavad-gita, that an impersonalist, if he is sincere in searching out the Absolute Truth, then ultimately such impersonalist can reach to the point of the Personality of Godhead.
Satsvarūpa: How does a preacher realize? How does a preacher come to realize?
Prabhupāda: He must know that he's servant.
(Evening conversation--------Puri).
Ali: How does one get to know the true spirit?
Prabhupāda: By knowledge, by knowledge. Just like you are talking. How you are talking? Because the spirit soul is there within you. As soon as it is gone, you cannot talk. Your this body and everything will remain, but you cannot talk, you cannot understand, everything is finished. So this is matter. Body is matter, and the force which is helping you to talk, that is spirit. Now you have to understand it thoroughly.
(Evening darshan--------Tehran).
Young Woman: So how to realize Kṛṣṇa?
Prabhupāda: You have to adopt the process. This is Kṛṣṇa consciousness.
(Lecture on Bhagavad-Gita--------Los Angeles).
Krishna Tiwari: But how we know about soul?
Prabhupāda: We know from the Vedic knowledge.
(Room conversation--------New York).
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