Finding the Fourth Proportional to 2,564.50, 3,846.84 and 1,468.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,564.50 : 3,846.84 = 1,468.36 : x
2. Step 2: Convert to fraction form
   2,564.50/3,846.84 = 1,468.36/x
3. Step 3: Cross multiply
   2,564.50x = 3,846.84 × 1,468.36
4. Step 4: Simplify right side
   2,564.50x = 5,648,545.98
5. Step 5: Solve for x
   x = 5,648,545.98/2,564.50
6. Step 6: Final answer
   x = 2,202.59