Finding the Fourth Proportional to 5,536.52, 7,647 and 4,042.16

Step by Step Solution

1. Step 1: Write the proportion equation
   5,536.52 : 7,647 = 4,042.16 : x
2. Step 2: Convert to fraction form
   5,536.52/7,647 = 4,042.16/x
3. Step 3: Cross multiply
   5,536.52x = 7,647 × 4,042.16
4. Step 4: Simplify right side
   5,536.52x = 30,910,397.52
5. Step 5: Solve for x
   x = 30,910,397.52/5,536.52
6. Step 6: Final answer
   x = 5,583.00