Finding the Fourth Proportional to 2,584.28, 3,565.86 and 1,535.96

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.28 : 3,565.86 = 1,535.96 : x
2. Step 2: Convert to fraction form
   2,584.28/3,565.86 = 1,535.96/x
3. Step 3: Cross multiply
   2,584.28x = 3,565.86 × 1,535.96
4. Step 4: Simplify right side
   2,584.28x = 5,477,018.33
5. Step 5: Solve for x
   x = 5,477,018.33/2,584.28
6. Step 6: Final answer
   x = 2,119.36