Finding the Fourth Proportional to 2,565.24, 3,846.50 and 1,329.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.24 : 3,846.50 = 1,329.59 : x
2. Step 2: Convert to fraction form
   2,565.24/3,846.50 = 1,329.59/x
3. Step 3: Cross multiply
   2,565.24x = 3,846.50 × 1,329.59
4. Step 4: Simplify right side
   2,565.24x = 5,114,267.94
5. Step 5: Solve for x
   x = 5,114,267.94/2,565.24
6. Step 6: Final answer
   x = 1,993.68