Finding the Fourth Proportional to 2,706.50, 3,734.98 and 1,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706.50 : 3,734.98 = 1,464.50 : x
2. Step 2: Convert to fraction form
   2,706.50/3,734.98 = 1,464.50/x
3. Step 3: Cross multiply
   2,706.50x = 3,734.98 × 1,464.50
4. Step 4: Simplify right side
   2,706.50x = 5,469,878.21
5. Step 5: Solve for x
   x = 5,469,878.21/2,706.50
6. Step 6: Final answer
   x = 2,021.02