This has to be done during your exe4j configuration.
In the fourth step of Exe4j wizard which is Executable Info select> Advanced options select 32-bit or 64-bit. This worked well for me.
or else install both JDK tool-kits x64 and x32 in your machine.
Try installing the 32 bit version of Java 6. This works for version Install4J 4.0.5. Should fire right up, or allow you to re-run the installer.
Any newer version or the 64-bit version of 6 will fail, complaining that the java.exe is damaged.