Finding the Fourth Proportional to 6,742.41, 9,304.42 and 3,758.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,742.41 : 9,304.42 = 3,758.42 : x
2. Step 2: Convert to fraction form
   6,742.41/9,304.42 = 3,758.42/x
3. Step 3: Cross multiply
   6,742.41x = 9,304.42 × 3,758.42
4. Step 4: Simplify right side
   6,742.41x = 34,969,886.79
5. Step 5: Solve for x
   x = 34,969,886.79/6,742.41
6. Step 6: Final answer
   x = 5,186.56