Finding the Fourth Proportional to 6,738.40, 10,103.82 and 5,174.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,738.40 : 10,103.82 = 5,174.50 : x
2. Step 2: Convert to fraction form
   6,738.40/10,103.82 = 5,174.50/x
3. Step 3: Cross multiply
   6,738.40x = 10,103.82 × 5,174.50
4. Step 4: Simplify right side
   6,738.40x = 52,282,216.59
5. Step 5: Solve for x
   x = 52,282,216.59/6,738.40
6. Step 6: Final answer
   x = 7,758.85