1) Gain more connections on your personal account. Engage with them as much as you can.
2) Make sure you post high quality content on the company's page (tell more about your business, give some useful advices to the audience you're trying to reach out to, etc).
3) Invite your connections to follow the company's page.
4) Keep posting regularly. Share company's posts on your personal account.
5) Join discussion groups, where you can reach out to the target audience. Leave there some posts about your business + link to the company's page.
6) Use other platforms (e.g. social media profiles, dedicated to your business) to promote your company's page on LI.
Best of luck to you!