Finding the Fourth Proportional to 5,536.98, 7,641.57 and 4,137.30

Step by Step Solution

1. Step 1: Write the proportion equation
   5,536.98 : 7,641.57 = 4,137.30 : x
2. Step 2: Convert to fraction form
   5,536.98/7,641.57 = 4,137.30/x
3. Step 3: Cross multiply
   5,536.98x = 7,641.57 × 4,137.30
4. Step 4: Simplify right side
   5,536.98x = 31,615,467.56
5. Step 5: Solve for x
   x = 31,615,467.56/5,536.98
6. Step 6: Final answer
   x = 5,709.88