The boards of directors of the Newport Heights Irrigation District, the Fairview County Water District, and the Newport Mesa County Water District, and the city council of the City of Costa Mesa, shall, on or before the first day of the first month following the sixty-first day after this part becomes effective, appoint by resolution a director to serve as a director of the Costa Mesa County Water District. The four directors so appointed shall, within 60 days thereafter, appoint the fifth director. If they for any reason should fail to appoint such a director within the time allowed, the board of supervisors of the County of Orange shall appoint such director. If any of the districts or the city fail to appoint a director as herein provided, the directors who are appointed as herein provided shall consider such office vacant and make an appointment therefor. The directors so appointed shall proceed as provided in Water Code Sections 30520 and following, to organize the board, elect officers, and proceed to govern the affairs of the Costa Mesa County Water District. Any director so appointed must qualify as provided by county water district law, and the first directors shall classify themselves by lot as provided in Water Code Section 30501.