Finding the Fourth Proportional to 2,584.45, 3,567.06 and 1,536.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.45 : 3,567.06 = 1,536.31 : x
2. Step 2: Convert to fraction form
   2,584.45/3,567.06 = 1,536.31/x
3. Step 3: Cross multiply
   2,584.45x = 3,567.06 × 1,536.31
4. Step 4: Simplify right side
   2,584.45x = 5,480,102.27
5. Step 5: Solve for x
   x = 5,480,102.27/2,584.45
6. Step 6: Final answer
   x = 2,120.41