Finding the Fourth Proportional to 2,584.31, 3,565.10 and 1,535.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.31 : 3,565.10 = 1,535.63 : x
2. Step 2: Convert to fraction form
   2,584.31/3,565.10 = 1,535.63/x
3. Step 3: Cross multiply
   2,584.31x = 3,565.10 × 1,535.63
4. Step 4: Simplify right side
   2,584.31x = 5,474,666.83
5. Step 5: Solve for x
   x = 5,474,666.83/2,584.31
6. Step 6: Final answer
   x = 2,118.42