Define a summation of a set that consists of only non-numeric elements

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Say I want to produce a sum of variable values. But I want the running index, say i, to refer to elements of a set of string, like

$$M=\{{Banana, Bread, Computer}\}$$

such that $$i\in M$$ and that the result somehow resembles

$$\sum_{i\in M}{}x_i$$ In my poorer than fair attempt above the upper boundary is missing and I believe the lower boundary is also inadequate to my goal.

I guess my question in short is: How do I define a sum, where the running index refers to strings rather than integers?