The clock loses 16 minutes in 24 hours, so in 4 days (96 hours), it will lose 4 16 = <<416=64>>64 minutes.
The clock will indicate 10:00 p.m. on the fourth day at 10:00 p.m. + 64 minutes = 10:64 p.m.
Since 60 minutes equal one hour, the correct time will be 10:64 p.m. = 11:04 p.m.