The most appropriate option to fill in the blank is adapt.

Movie makers generally adapt historical facts to write their stories. This means that they change or modify historical facts to make them more interesting or dramatic. They may also add fictional elements to their stories.

The other options are not as appropriate.

• Explain means to make something clear or understandable. This does not make sense in the context of the sentence because movie makers are not trying to make historical facts clear or understandable, they are trying to change or modify them.
• Account for means to give a reason for something. This does not make sense in the context of the sentence because movie makers are not trying to give a reason for historical facts, they are trying to change or modify them.
• Correct means to make something right or accurate. This does not make sense in the context of the sentence because movie makers are not trying to make historical facts right or accurate, they are trying to change or modify them.