Finding the Fourth Proportional to 2,642.84, 3,647.32 and 1,464.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.84 : 3,647.32 = 1,464.12 : x
2. Step 2: Convert to fraction form
   2,642.84/3,647.32 = 1,464.12/x
3. Step 3: Cross multiply
   2,642.84x = 3,647.32 × 1,464.12
4. Step 4: Simplify right side
   2,642.84x = 5,340,114.16
5. Step 5: Solve for x
   x = 5,340,114.16/2,642.84
6. Step 6: Final answer
   x = 2,020.60