Solve the following word problem, by constructing an equation to solve for four unknown numbers:

Solve the following word problem, by constructing an equation to solve for four unknown numbers: The total of four consecutive numbers is equal to the sum of one-half of the first number, three times the second number, 22 less than the third number and two-thirds of the fourth number.(Hint: create a mathematical expression for each number on one side of the equation and then apply the rules and properties of addition and multiplication to create an expression for the other side of the equation.)