Step 1: The serum-ascites albumin gradient (SAAG) separates portal-hypertensive causes (SAAG high, that is >1.1 g/dL) from non-portal causes (SAAG low). A high SAAG here points to either cirrhosis or cardiac failure.
Step 2: To split these two high-SAAG causes, use the ascitic total protein. A value >2.5 g/dL indicates a cardiac cause, because the hepatic sinusoids in heart failure stay relatively intact and leak protein-rich fluid. A protein concentration here is 2.8 g/dL, which is above 2.5 g/dL.
Step 3: Cirrhotic ascites typically has a low protein (<2.5 g/dL) despite a high SAAG, so cirrhosis is excluded. The combination of high SAAG plus high protein is characteristic of cardiac failure.
Step 4: TB and nephritic syndrome both give a low SAAG (<1.1 g/dL), and portal hypertension from cirrhosis gives high SAAG but low protein, so none fit this profile.