It's rather difficult to multiply a frequency by such a non-integral value of 1/0.86 = 1.1628.
What accuracy is required for the multiplication?
A phase-lock loop comes to mind but that wouldn't work down to DC.
The best I can think of is to use a micro to count the pulses and then output 11,628 pulses for every 10,000 pulses in, but that may be unacceptable due to the time delay in the output.
For less delay with a slight loss in accuracy (0.02%) it could output 1,163 pulses for every 1,000 input pulses.
Or you could output 116 pulses for every 100 input pulses with a 0.24% loss in accuracy.
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A further though on doing the multiplication with a micro:
If you output 116 pulses for every 100 input pulses and then 1 extra pulse every 357 counts, you would have 11,628.01 pulses for every 10,000 input pulses.
Taking that one step further you could output 11 pulses for every 10 input pulses with one extra pulse every 16 input pulses. This would give 11,625 output pulses for every 10,000 input pulses or within 0.03% of the desired 11,628.