Great question!

In version 7.6.0, cloud saving was added to AdVenture Capitalist. To manually sync your game, first make sure you are logged into Game Center (iOS) or Google Play (Android), then follow these steps:
  • Open the Menu (three white lines) ---> Click on "Career" ---> Click on “Statistics” ---> Make sure your game is green and says  “Connected"
  • Voila!