Finding the Fourth Proportional to 2,584.89, 3,567.17 and 1,536.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.89 : 3,567.17 = 1,536.75 : x
2. Step 2: Convert to fraction form
   2,584.89/3,567.17 = 1,536.75/x
3. Step 3: Cross multiply
   2,584.89x = 3,567.17 × 1,536.75
4. Step 4: Simplify right side
   2,584.89x = 5,481,852.34
5. Step 5: Solve for x
   x = 5,481,852.34/2,584.89
6. Step 6: Final answer
   x = 2,120.73