For azerite:
4.417178 is the “average” found in the spell data. You have to multiply that by a budget that depends on the item level(s) of the item(s) you have the trait on. For ilvl 435 the scaling is 248.
248 * 4.417178 = 1095.46 * 2 = 2190.92
Healing of Vivify with 8149 intellect and 11.47% vers:
0.74 * 8149 + 2190.92 = 8,221.18
8221.18 * 1.1147 * 1.4 = 12,829.81
(The 1.4 comes from the 40% healing multiplier on the mistweaver monk spec passive. All healers have this multiplier in BfA.)