The company urgently needs funds to relieve the pressing emergency.
Tips
history
From the Song-era 《五灯会元》: a Chan monk was asked 「如何是急切一句?」 (what is the most urgent single phrase?) and answered 「火烧眉毛」 ('fire burning the eyebrows'). 燃眉之急 condenses this into a noun.
usage
Always a noun, almost always the object of 解 (to relieve) or 救 (to rescue): 解燃眉之急 ('to relieve a pressing emergency'). Describes a short-term crisis needing immediate help, often financial.