Here is a way to read just the last line without looping through the entire file.
It goes to the end of the file and start reading backwards until it hits another LF character, which indicates the end of the second to last line, and it then just read that line in.
On a big file with millions of rows, this decrease the cost to reading few bytes.
You can uncomment Dts.Events.FireInformation codes what is happening in your output window.
Dim i As Integer
Dim CurrentByte As Integer
Dim Trailer As String
i = 1
Using reader As StreamReader = New StreamReader("c:\temp\SourceFile.txt")
Do While CurrentByte <> 10 'while we are not finding the next LF character
reader.BaseStream.Seek((-1 * i) - 2, SeekOrigin.End) 'seeking backwards from the last position in the file minus the last CRLF
'Dts.Events.FireInformation(0, "Now at position", reader.BaseStream.Position().ToString, "", 0, False)
CurrentByte = reader.BaseStream.ReadByte 'read the next byte, this will advance pointer position
'Dts.Events.FireInformation(0, "Current ASCII Code", CurrentByte & " Character:" & Chr(CurrentByte), "", 0, False)
i = i + 1 'go to the next character
Loop
Trailer = reader.ReadLine 'we exited on the LF character, so we are at the beginning of trailer line
Dts.Events.FireInformation(0, " Trailer:", Trailer, "", 0, False)
End Using