Finding the Fourth Proportional to 6,738.24, 9,298.71 and 3,754.02

Step by Step Solution

1. Step 1: Write the proportion equation
   6,738.24 : 9,298.71 = 3,754.02 : x
2. Step 2: Convert to fraction form
   6,738.24/9,298.71 = 3,754.02/x
3. Step 3: Cross multiply
   6,738.24x = 9,298.71 × 3,754.02
4. Step 4: Simplify right side
   6,738.24x = 34,907,543.31
5. Step 5: Solve for x
   x = 34,907,543.31/6,738.24
6. Step 6: Final answer
   x = 5,180.51