How do we know Jesus is the fulfillment of Old Testament figures?

Throughout the New Testament, Jesus is consistently portrayed as the fulfillment of Old Testament prophecy and typology. For example, in the passage from 2 Samuel 23, King David is depicted as a type of Christ, with his life and the actions of his mighty men foreshadowing the ultimate sacrifice of Jesus on the cross. Just as David was surrounded by loyal warriors who risked their lives for him, Christ, through His atoning work, exemplifies the ultimate act of love and sacrifice for His people. Furthermore, passages like Matthew 1:1 define Jesus as the son of David, asserting His right to the Messianic throne. Thus, the lives of figures like David draw a direct line to understand and appreciate the person and work of Jesus Christ in the economy of redemption.