In HTML output numbering font is changing to browser font, how do I correct it?

Click in the list and click the Styles icon on the right. That will show which list style is applied. Click the pencil icon to edit that style in the CSS.

Do you have Advanced Formatting set?

• If not, then is the font set in the fields below.
• If it is and is working for the text but not the numbering, then you may need to apply some advanced formatting. Before doing so I suggest you go back to the Contents panel and create a duplicate of the CSS. With that option selected you will see further formatting options. Make sure Numbering is selected in a dropdown and then select the font for Numbering.

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My site www.grainge.org includes many free Authoring and RoboHelp resources that may be of help.

It's a little hard to tell, depending on a lot of factors, including any customisations you might have made to your css or skin. 

First I would check in your stylesheet under Other Styles > body and see what font is specified. If it's 'None', try selecting the font you want your text to be. For me, a brand new project created in RH2020 specifies Calibri, but it's possible that an upgraded one might not have a font set here.

While a new project doesn't have a font specified for the ol tag and should pick up the font from the html or body tag, that would probably be the next spot I'd try setting a font.

(Well, actually, I'd probably dig deeper, but most people don't have my passion for finding ultimate reasons, and just want to fix the problem as quickly as possible. 😛  )

If neither of those work, we will need to start looking at the list code and your stylesheet and skin customisations.

Which output and which skin are you using?