Finding the Fourth Proportional to 2,565.50, 3,848.34 and 1,469.36

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.50 : 3,848.34 = 1,469.36 : x
2. Step 2: Convert to fraction form
   2,565.50/3,848.34 = 1,469.36/x
3. Step 3: Cross multiply
   2,565.50x = 3,848.34 × 1,469.36
4. Step 4: Simplify right side
   2,565.50x = 5,654,596.86
5. Step 5: Solve for x
   x = 5,654,596.86/2,565.50
6. Step 6: Final answer
   x = 2,204.09