Finding the Fourth Proportional to 2,565.02, 3,847.59 and 1,468.86

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.02 : 3,847.59 = 1,468.86 : x
2. Step 2: Convert to fraction form
   2,565.02/3,847.59 = 1,468.86/x
3. Step 3: Cross multiply
   2,565.02x = 3,847.59 × 1,468.86
4. Step 4: Simplify right side
   2,565.02x = 5,651,571.05
5. Step 5: Solve for x
   x = 5,651,571.05/2,565.02
6. Step 6: Final answer
   x = 2,203.33