The cost of four scarves and six hats is $52.00. The cost of two hats is $1.00 more than the cost of one scarf. What is the cost of one scard?

Let's assume the cost of one scarf is $x.

According to the information given, the cost of one hat is $1.00 more than the cost of one scarf, which is x + $1.00.
The cost of 4 scarves is 4x, and the cost of 6 hats is 6(x + $1.00).
According to the problem, 4x + 6(x + $1.00) = $52.00.
Simplifying the equation, we get 4x + 6x + $6.00 = $52.00.
Combining like terms, we get 10x + $6.00 = $52.00.
Subtracting $6.00 from both sides, we get 10x = $46.00.
Dividing both sides by 10, we get x = $4.60.
Therefore, the cost of one scarf is $4.60. Answer: \boxed{4.60}.