Finding the Fourth Proportional to 2,585.12, 3,566.31 and 1,536.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.12 : 3,566.31 = 1,536.57 : x
2. Step 2: Convert to fraction form
   2,585.12/3,566.31 = 1,536.57/x
3. Step 3: Cross multiply
   2,585.12x = 3,566.31 × 1,536.57
4. Step 4: Simplify right side
   2,585.12x = 5,479,884.96
5. Step 5: Solve for x
   x = 5,479,884.96/2,585.12
6. Step 6: Final answer
   x = 2,119.78