Elliptical base cone with an off-axis vertex

Hello team.
I can't find how to do this:
image
join the point circled in red at the base (ellipse)

In order to obtain the following:
image
Except that this one doesn't suit me because I cheated by creating in a small circle and doing a smoothing.
I would like a point.

Do you have a solution?

Have a nice day

In fact I just found something:
On plan 1 I made a sketch containing a simple point.

I asked for a smoothing between these two sketches (the ellipse and this point)
image

The goal in the end is to model a silo hopper with a square section made up of a portion of a cone or cone trunk.
(I don't need to do the sheet metal press, it's just representative)
image

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