Finding the Fourth Proportional to 6,137.10, 8,464.50 and 4,144.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,137.10 : 8,464.50 = 4,144.50 : x
2. Step 2: Convert to fraction form
   6,137.10/8,464.50 = 4,144.50/x
3. Step 3: Cross multiply
   6,137.10x = 8,464.50 × 4,144.50
4. Step 4: Simplify right side
   6,137.10x = 35,081,120.25
5. Step 5: Solve for x
   x = 35,081,120.25/6,137.10
6. Step 6: Final answer
   x = 5,716.24