In an election between Ramagya and Shravan, Ramagya was supported by 54% of all voters. 12% of voters did not cast their votes, and 84 voters cast blank ballot papers. Ramagya received 1456 more votes

Ramagya was supported by 54% of all the voters in the list.

$$\text{Votes for Ramagya} = 0.54T$$

12% of the voters did not cast their votes.

$$\text{Voters who cast votes} = T - 0.12T = 0.88T$$

84 voters cast blank ballot papers.

$$\text{Valid votes} = \text{Voters who cast votes} - \text{Blank votes} = 0.88T - 84$$

The total valid votes are distributed between Ramagya and Shravan.

$$\text{Votes for Shravan} = \text{Valid votes} - \text{Votes for Ramagya}$$ $$\text{Votes for Shravan} = (0.88T - 84) - 0.54T$$ $$\text{Votes for Shravan} = 0.34T - 84$$

Ramagya got 1456 more votes than Shravan.

$$\text{Votes for Ramagya} - \text{Votes for Shravan} = 1456$$ $$0.54T - (0.34T - 84) = 1456$$ $$0.54T - 0.34T + 84 = 1456$$ $$0.20T + 84 = 1456$$

$$0.20T = 1456 - 84$$ $$0.20T = 1372$$ $$T = \frac{1372}{0.20}$$ $$T = \frac{1372}{\frac{20}{100}}$$ $$T = \frac{1372 \times 100}{20}$$ $$T = 1372 \times 5$$ $$T = 6860$$

The total number of voters in the list is 6860. This matches option (d).

The final answer is $\text{6860}$.