Replace empty values with values of other records in a dataframe

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I have the following problem

I need to replace the empty cel values in dataframe with the values of the costs of CustomerNr of other records

df1 = pd.DataFrame([[1004,''], [1004, 'D'],[1005, 'C'], 
                   [1010,'A'], [1010,''],[1010,''],[1010,''],[1004, '']], columns=['CustomerNr','Costs'])
CustomerNr Costs
1004
1004 D
1005 C
1010 A
1010
1010
1010
1004

Desired output:

CustomerNr Costs
1004 D
1004 D
1005 C
1010 A
1010 A
1010 A
1010 A
1004 D


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