To add a fillable signature box for someone else to sign in Adobe Acrobat:
Board Chair Signature, mark it Required if appropriate, and assign it to the correct signer if you are sending it for e-signature.
To send it out for signatures afterward, use E-Sign → Request e-signatures, add each signer’s email address, then place/assign each signature field before sending. Adobe’s current workflow uses Prepare a form for creating the fields.
If you only need to sign the document yourself—not create a box for others—open the PDF, select E-Sign or Fill & Sign, choose Add Signature, then click where you want it placed. Reader can do this basic self-signing without Acrobat Pro.