Automatic update of dates

Dear Excel Gurus,

I would like to ask for your kind help.

I need to develop a planning-tracking sheet for a service delivery. The production phase consits of several steps all set with a delivery date. These steps follows in sequence so if the date of the predecessor task changes (e.g. due to a delay), it affect the all dates in the chain.

So, lets say I have cells A1 - E1 filled like this: Date1 / Date2 / Date3 / Date4 / Date5 / Ready for Service Date
All 6 cells are formated to dd.mm.yyyy. What formula or code could automatically update the delivery dates in case I change any date in the chain?

I would really appreciate if you could help me to solve this out.

Thank you in advance