Finding the Fourth Proportional to 6,738.84, 9,297.41 and 3,754.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,738.84 : 9,297.41 = 3,754.10 : x
2. Step 2: Convert to fraction form
   6,738.84/9,297.41 = 3,754.10/x
3. Step 3: Cross multiply
   6,738.84x = 9,297.41 × 3,754.10
4. Step 4: Simplify right side
   6,738.84x = 34,903,411.35
5. Step 5: Solve for x
   x = 34,903,411.35/6,738.84
6. Step 6: Final answer
   x = 5,179.44