Finding the Fourth Proportional to 2,642.92, 3,647.31 and 1,464.10

Step by Step Solution

1. Step 1: Write the proportion equation
   2,642.92 : 3,647.31 = 1,464.10 : x
2. Step 2: Convert to fraction form
   2,642.92/3,647.31 = 1,464.10/x
3. Step 3: Cross multiply
   2,642.92x = 3,647.31 × 1,464.10
4. Step 4: Simplify right side
   2,642.92x = 5,340,026.57
5. Step 5: Solve for x
   x = 5,340,026.57/2,642.92
6. Step 6: Final answer
   x = 2,020.50