
The answer for the above question is three. But I am able to draw four structures:

Where am I getting it wrong?

The answer for the above question is three. But I am able to draw four structures:

Where am I getting it wrong?
In your attempt the 4th compound is not reported to have significant percentage in solution (acidic or basic). This is because once the tautomerisation occurs for example let's say the 1st compound, there is a tautomer having a six-membered conjugated ring involving H-bonding. This thereby increases the stability of the compound and consequently increasing the activation energy for the tautomerisation you proposed in compound 4. This is why compound 4 is not formed.
Also keep in mind that stereo-chemistry is also important while finding number of possible compounds.
When a tautomer is formed from a diketone, a six-membered pesudo-ring structure is formed that stabilizes the structure through H-bonding. This structure is responsible for not letting any tautomerization of the second carbonyl.
Note: the structure I've shown on the top is made from MS Paint so its quite messy but you'll get the point.