The technologies that feed the Da Vinci's Workshop wonder are Stoneware, Procrastinating, The Wheel, The Scroll, Invention, Draftsmanship, and Philosophy, with corresponding puzzle answers MALTESE FALCON, LARGE CRABGRASS, TRAFFIC PYLON, ORCHID, STOP SIGN, MERCURY, and CORN CAKE.
As per the instructions, alphabetize the tech names by last letter, and fill them into the boxes at the bottom. Now you get to play a little follow-the-twisty-lines in order to feed the puzzle answers into the boxes at the top:
Each of the seven answers has a particular color associated with it:
STOP SIGN: red
LARGE CRABGRASS: green
CORN CAKE: yellow
TRAFFIC PYLON: orange
MALTESE FALCON: black
Replace the answers with the colors in the diagram, and you get:
Read these off as resistor code colors, and it says:
(25 × 10−2) of (74 × 102 + 32 × 100)
i.e., "one quarter of 7432". The answer to the meta is not "1858".
7432 the part number for a chip consisting of four OR gates. Therefore one quarter of 7432 is an OR GATE, which is the answer to the metapuzzle.