How to append data to a binary file?

private static void AppendData(string filename, int intData, string stringData, byte[] lotsOfData)
{
    using (var fileStream = new FileStream(filename, FileMode.Append, FileAccess.Write, FileShare.None))
    using (var bw = new BinaryWriter(fileStream))
    {
        bw.Write(intData);
        bw.Write(stringData);
        bw.Write(lotsOfData);
    }
}