Use Named Ranges.
First, define the name "Total" as =B2:B12+C2:C12+D2:D12
Then, define three names "PctA"=B2:B12/Total, PctB etc.
Then, define a name "Dates"=A2:A12
Insert a line chart and enter the 3 pct names as the data series. Put in the names as Sheet1!PctA, etc. - Excel won't accept the names without a sheet reference.
Do same for Dates as the horizonal category range.