Finding the Fourth Proportional to 6,738.18, 9,298.29 and 3,754.14

Step by Step Solution

1. Step 1: Write the proportion equation
   6,738.18 : 9,298.29 = 3,754.14 : x
2. Step 2: Convert to fraction form
   6,738.18/9,298.29 = 3,754.14/x
3. Step 3: Cross multiply
   6,738.18x = 9,298.29 × 3,754.14
4. Step 4: Simplify right side
   6,738.18x = 34,907,082.42
5. Step 5: Solve for x
   x = 34,907,082.42/6,738.18
6. Step 6: Final answer
   x = 5,180.49