Finding the Fourth Proportional to 3,738.42, 5,146.20 and 3,694.68

Step by Step Solution

1. Step 1: Write the proportion equation
   3,738.42 : 5,146.20 = 3,694.68 : x
2. Step 2: Convert to fraction form
   3,738.42/5,146.20 = 3,694.68/x
3. Step 3: Cross multiply
   3,738.42x = 5,146.20 × 3,694.68
4. Step 4: Simplify right side
   3,738.42x = 19,013,562.22
5. Step 5: Solve for x
   x = 19,013,562.22/3,738.42
6. Step 6: Final answer
   x = 5,085.99