Developed predictive back gesture support for FlutterFragment and FlutterFragmentActivity within the flutter/flutter repository, enhancing navigation user experience across Android embeddings. Integrated back gesture events into the existing back-press callback mechanism using BackGestureChannel and FlutterActivityAndFragmentDelegate, enabling automatic back handling when shouldAutomaticallyHandleOnBackPressed is true. Applied test-driven development practices by adding comprehensive tests to validate the integration, ensuring reliability and consistency. Addressed a navigation reliability issue, referenced as #149753, to further improve user experience. Demonstrated proficiency in Android development, Flutter, and Java, focusing on robust integration and seamless navigation across fragments and activities within the Flutter embedding framework.