Heritage Ltd$.$ was organized on January $2,2023.$ The following investment transactions and events occurred during the following months:

$2023$

Jan. $6$ Heritage paid $$593,500($including transaction fees of $$50)$ for $51,800$ shares $(20\%)$ of Port Inc. outstanding common shares.

Apr. $30$ Port declared and paid a cash dividend of $$1\mathrm{.}40$ per share.

Dec. $31$ Port announced that its profit for $2023$ was $$660,000.$ Fair value of the shares was $$13\mathrm{.}60$ per share.

$2024$

Oct. $15$ Port declared and paid a cash dividend of $$1\mathrm{.}00$ per share.

Dec. $31$ Port announced that its profit for $2024$ was $$810,000.$ Fair value of the shares was $$13\mathrm{.}98$ per share.

$2025$

Jan. $5$ Heritage sold all of its investment in Port for $$700,000$ cash.

Assume that Heritage has a significant influence over Port with its $20\%$ share.

Required:

$1.$ Prepare the entries to record the preceding transactions in Heritage$$s books.

$2.$ Calculate the carrying value per share of Heritage$$s investment as reflected in the investment account on January $4,2025.($Round your answer to $2$ decimal places.$)$

$3.$ Calculate the change in Heritage$$s equity from January $2,2023,$ through January $5,2025,$ resulting from its investment in Port.