Thanks @fma+1rRT9hmG, these are shares Broadcom purchased from me on acquisition close date. They gave half in cash and rolled the other half into AVGO shares (each VMW share approx = 1/4 share of AVGO).
In the example I gave, those RSU shares vested 11/1/2016. There are 11 transactions similar to this on my 1099, one for each RSU vesting date during my illustrious career at VMW. :-)
And I think that answers my own question. The $1434.84 is the cash portion I received for those 21 shares. If I divide cash received by the true purchase price (21 shares x 142.50 = $2294.50), that come to .6253. So, I should apply that same percentage to my total cost basis (21 x 64.77 = 1,360.17). So, 1,360.17 x .6253 = $850.51. Therefore,
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51 is the cost basis for the cash portion of the 21 shares.
I figured since all of us are in the same boat where transaction history was not retained when Broadcom moved our VMW Etrade accounts to an AVGO Etrade account, that others would have the same questions and may have already figured it out. :-)