Finding the Fourth Proportional to 2,643.63, 3,647.86 and 1,464.67

Step by Step Solution

1. Step 1: Write the proportion equation
   2,643.63 : 3,647.86 = 1,464.67 : x
2. Step 2: Convert to fraction form
   2,643.63/3,647.86 = 1,464.67/x
3. Step 3: Cross multiply
   2,643.63x = 3,647.86 × 1,464.67
4. Step 4: Simplify right side
   2,643.63x = 5,342,911.11
5. Step 5: Solve for x
   x = 5,342,911.11/2,643.63
6. Step 6: Final answer
   x = 2,021.05