10 resistor voltage divider calculations for LM3914 IC
V1 is the resistor divider of the R2 and R3||CHAIN_RESISTANCE. That is you need to calculate the equivalent resistance of R3 with the total chain resistance in parallel with it in order to calculate V1.

\$Rp = R3||R_C = 1/((1/470)+(1/10,000)) =448.9\Omega\$

So 

\$V1 = 1.25 * 448.9/(448.9+680) = 0.497V\$

After that it is easy. There are 10 resistors in the chain, all of them are the same resistance.... Once you know V1, the rest should be easy.

Consider this..







simulate this circuit &ndash; Schematic created using CircuitLab

Do you see a pattern here?