Finding the Fourth Proportional to 6,697.88, 10,046.76 and 5,238.24

Step by Step Solution

1. Step 1: Write the proportion equation
   6,697.88 : 10,046.76 = 5,238.24 : x
2. Step 2: Convert to fraction form
   6,697.88/10,046.76 = 5,238.24/x
3. Step 3: Cross multiply
   6,697.88x = 10,046.76 × 5,238.24
4. Step 4: Simplify right side
   6,697.88x = 52,627,340.10
5. Step 5: Solve for x
   x = 52,627,340.10/6,697.88
6. Step 6: Final answer
   x = 7,857.31