Finding the Fourth Proportional to 2,584.56, 3,565.92 and 1,536.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.56 : 3,565.92 = 1,536.48 : x
2. Step 2: Convert to fraction form
   2,584.56/3,565.92 = 1,536.48/x
3. Step 3: Cross multiply
   2,584.56x = 3,565.92 × 1,536.48
4. Step 4: Simplify right side
   2,584.56x = 5,478,964.76
5. Step 5: Solve for x
   x = 5,478,964.76/2,584.56
6. Step 6: Final answer
   x = 2,119.88