There’s still plenty to be decided with a storm-hit Saturday reducing the number of ties.
But there are some interesting matches in prospect in the New Year with a final at Wembley Stadium in may the carrot for clubs.
Slough Town's reward for defeating rivals Maidenhead United is as game with Kidderminster Harriers.
York City will be well aware of Gainsborough Trinity's great cup record this year and it is sure to be a tricky trip.
Two fancied National League sides meet as Altrincham welcome Barnet.
Stockton beat Oldham Athletic on Saturday - and either Leamington or Rochdale are next in the firing line.
Forest Green won't have an easy game against Chorley with holders Gateshead at home Boston United, if they can get the better of Farsley first.
Winners receive a cheque for £5,250, with defeated sides earning £1,500 for the prize fund.
The fourth round draw in full:
Aldershot Town v Chertsey/Dagenham
Kidderminster v Slough Town
Leamington/Rochdale v Stockton
Altrincham v Barnet
Gosport v Torquay/Horsham
Biggleswade/Totton v Oxford City
Sittingbourne v Chesham v Salisbury
Forest Green v Chorley
Woking/Havant & W v Radcliffe
Sutton United v Hartlepool/Tamworth
Gainsborough v York City
Basford United v Hanwell/Eastleigh
Yeovil/Weymouth v Boreham Wood
Gateshead/Farsley v Boston United
Hampton & RB v Spennymoor Town
Southend v Southport/Peterborough S