Finding the Fourth Proportional to 6,874.56, 10,296.72 and 5,137.92

Step by Step Solution

1. Step 1: Write the proportion equation
   6,874.56 : 10,296.72 = 5,137.92 : x
2. Step 2: Convert to fraction form
   6,874.56/10,296.72 = 5,137.92/x
3. Step 3: Cross multiply
   6,874.56x = 10,296.72 × 5,137.92
4. Step 4: Simplify right side
   6,874.56x = 52,903,723.62
5. Step 5: Solve for x
   x = 52,903,723.62/6,874.56
6. Step 6: Final answer
   x = 7,695.58