To find out how much money Charlie has left in his savings account after his expenses, we can follow these steps:
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Initial Savings: Start with $984.20.
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Cost of Plane Ticket: Subtract the cost of the plane ticket from his savings. \[ 984.20 - 381.80 = 602.40 \]
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Remaining Savings: After buying the plane ticket, Charlie has $602.40 left in his savings account.
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Transfer to Checking Account: Next, Charlie transfers \( \frac{1}{4} \) of his remaining savings to his checking account. \[ \frac{1}{4} \times 602.40 = 150.60 \]
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Savings After Transfer: Subtract the transferred amount from his remaining savings in the savings account. \[ 602.40 - 150.60 = 451.80 \]
Therefore, the amount of money left in Charlie's savings account is \(\boxed{451.80}\).