rest placement in multi-voice piano staff

[Flaming Hakama by Elaine]

I was wondering if anyone had a clue as to how to get the eighth rest in voice three to be shown above the half note in voice four?   

\version "2.19.15" 

\include "english.ly"

pianoVoiceOne = \relative c' { <fs b d>2 <f c'> }

pianoVoiceTwo = \relative c' { s1 }

pianoVoiceThree = \relative c' { \stemDown r8 a fs [ d ] \stemUp b gs <e' gs>4 }

pianoVoiceFour = \relative c, { \stemDown b2 e }

      <<

        \new PianoStaff <<

            \new Staff = "upper" <<

                \new Voice = "first"  \pianoVoiceOne

                \new Voice = "second" \pianoVoiceTwo

            >>

            \new Staff = "lower" <<

                \clef bass

                \new Voice = "third" \pianoVoiceThree

                \new Voice = "fourth" \pianoVoiceFour

            >>

        >>

      >>

      \layout { }

Thanks, 

David Elaine Alt

415 . 341 .4954                                           "Confusion is highly underrated"

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