Finding the Fourth Proportional to 2,584.16, 3,566.04 and 1,536

Step by Step Solution

1. Step 1: Write the proportion equation
   2,584.16 : 3,566.04 = 1,536 : x
2. Step 2: Convert to fraction form
   2,584.16/3,566.04 = 1,536/x
3. Step 3: Cross multiply
   2,584.16x = 3,566.04 × 1,536
4. Step 4: Simplify right side
   2,584.16x = 5,477,437.44
5. Step 5: Solve for x
   x = 5,477,437.44/2,584.16
6. Step 6: Final answer
   x = 2,119.62