Without the correct system DVD or the correct disk image of the supported OS X
version(s) the computer may be able to run, you do not have the tools to do this.
An older G3 computer could not connect via Ethernet to a newer G4 to do what
is required. And to facilitate the discussion, to have an accurate identification of
the PowerBook G4 aluminum model (processor, display, graphic spec, etc) from
the original sales model number and other info, could be helpful when looking
online for original or official duplicate OS X retail install DVDs.
If you can locate a serial number on the computer, externally or internally, some
had that info inside the battery compartment; or on the back by the hinge. If it
were running, the serial number could be found in the System Profiler, or in the
About This Mac (under Apple in main menu bar) and that info could be used to
find out the build specs for the computer. To help identify a replacement OS disc.
Here's a short list of main categories of Aluminum PowerBook G4:
https://www.powerbookmedic.com/xcart1/manual-pages/powerbook-g4-aluminum.php
• identify by serial number - lookup site:
https://www.powerbookmedic.com/identify-mac-serial.php
Tiger 10.4.11 and Leopard 10.5.8 are about all that could run on a vintage PPC Mac
depending on the hardware vintage build and original build date specs. - It would be
much easier to buy a newer MacBook (intel) core 2 duo model, buy Snow Leopard
10.6 on DVD, and update that, for a less obsolete & satisfactory vintage experience.
PowerBook G4 Aluminum models according to the short list above, should be able
to run Leopard 10.5.8, as their highest system, given their early processor was an
867MHz PPC, the slowest one to use the Leopard 10.5 system. However there are
other PowerBook G4 models that have slower CPUs and cannot run Leo 10.5.
MacTracker and everymac databases can detail the correct part number of original
DVD and software, once a specific example of hardware is identified properly...
A good clean working early MacBook from the 2006-07 era would be superior to an
old PowerBook G4. The early MacBook series, 2006 to 2010, was fairly good.
Hopefully you can find the correct install disc for the model PowerBook you have.
Good luck & happy computing! 🙂