Finding the Fourth Proportional to 2,584.34, 3,566.40 and 1,536.41

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.34 : 3,566.40 = 1,536.41 : x
2. Step 2: Convert to fraction form
   2,584.34/3,566.40 = 1,536.41/x
3. Step 3: Cross multiply
   2,584.34x = 3,566.40 × 1,536.41
4. Step 4: Simplify right side
   2,584.34x = 5,479,452.62
5. Step 5: Solve for x
   x = 5,479,452.62/2,584.34
6. Step 6: Final answer
   x = 2,120.25