Finding the Fourth Proportional to 2,584.50, 3,566.61 and 1,536.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.50 : 3,566.61 = 1,536.56 : x
2. Step 2: Convert to fraction form
   2,584.50/3,566.61 = 1,536.56/x
3. Step 3: Cross multiply
   2,584.50x = 3,566.61 × 1,536.56
4. Step 4: Simplify right side
   2,584.50x = 5,480,319.18
5. Step 5: Solve for x
   x = 5,480,319.18/2,584.50
6. Step 6: Final answer
   x = 2,120.46