Finding the Fourth Proportional to 2,583.20, 3,565.33 and 1,535.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,583.20 : 3,565.33 = 1,535.06 : x
2. Step 2: Convert to fraction form
   2,583.20/3,565.33 = 1,535.06/x
3. Step 3: Cross multiply
   2,583.20x = 3,565.33 × 1,535.06
4. Step 4: Simplify right side
   2,583.20x = 5,472,995.47
5. Step 5: Solve for x
   x = 5,472,995.47/2,583.20
6. Step 6: Final answer
   x = 2,118.69