Finding the Fourth Proportional to 2,565.50, 3,855.45 and 1,525.68

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565.50 : 3,855.45 = 1,525.68 : x
2. Step 2: Convert to fraction form
   2,565.50/3,855.45 = 1,525.68/x
3. Step 3: Cross multiply
   2,565.50x = 3,855.45 × 1,525.68
4. Step 4: Simplify right side
   2,565.50x = 5,882,182.96
5. Step 5: Solve for x
   x = 5,882,182.96/2,565.50
6. Step 6: Final answer
   x = 2,292.81