Finding the Fourth Proportional to 3,647.33, 5,031.52 and 2,585.32

Step by Step Solution

1. Step 1: Write the proportion equation
   3,647.33 : 5,031.52 = 2,585.32 : x
2. Step 2: Convert to fraction form
   3,647.33/5,031.52 = 2,585.32/x
3. Step 3: Cross multiply
   3,647.33x = 5,031.52 × 2,585.32
4. Step 4: Simplify right side
   3,647.33x = 13,008,070.24
5. Step 5: Solve for x
   x = 13,008,070.24/3,647.33
6. Step 6: Final answer
   x = 3,566.46