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Marcus303 - AFAIK the only time Windows prompts for a password is when you logon.
Maybe you or your sysadm installed a 3rd party folder protection utility, and Program Files or some such has been password protected, in that case you might be prompted for password.
Where did you get the .msi file, the only safe place is here ==>>
Download calibre
Try unpacking the msi, I use a free utility called lessmsi - aka as Lessmsierables
If it asks for password then that would suggest that the msi has been tampered with. If it doesn't that would suggest malware is interfering with the operation of Trusted Installer. IIRC that's one of the tricks that some of so-called 'ransomware' pests get up to.
BR