Finding the Fourth Proportional to 2,565.74, 3,848.72 and 1,469.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.74 : 3,848.72 = 1,469.61 : x
2. Step 2: Convert to fraction form
   2,565.74/3,848.72 = 1,469.61/x
3. Step 3: Cross multiply
   2,565.74x = 3,848.72 × 1,469.61
4. Step 4: Simplify right side
   2,565.74x = 5,656,110.05
5. Step 5: Solve for x
   x = 5,656,110.05/2,565.74
6. Step 6: Final answer
   x = 2,204.47