Hi everyone, this is the first time I've posted an... (
I have never worked a shawl this way but I will try to explain it, as I see it.
Could not use the link because I did not want to register with Patons so I am going by what you have written.
With each fringe you make, you will end up with 3 stitches on the needle so with 76 fringes you will have 228 stitches on the needle.
Now, the bit you are stuck on is simply SL1, knit to the last 2 stitches then those 2 stitches stay on the needle which will be on the right needle when you turn to go back the other way.
Work back to the last 2 stitches that are on the left needle, turn.
Now you work back to the last 4 stitches, the original 2 you left and 2 more for the new row.
Keep doing this, with 2 new stitches left on the needle at the end of each row.
When you have only 39 stitches left, knit across all stitches.
I am going to try this for you, on less stitches, to make sure I have it correct.
I won't do the fringe but will cast on 20 or so stitches and see what I end up with.
If I can, I will post a picture so you can see how it looks on the needles.
No picture but I have worked a small sample on a piece of knitting I had on the needles.
I am not too sure I have given you the correct information because, leaving 2 new stitches unworked at the end of each row puts the curve on the wrong edge of the piece, not the edge with the fringe.
I will have another fiddle, on a few more stitches and see what else I can come up with.
Maybe I will have to register with Patons so I can see the pattern.