Finding the Fourth Proportional to 6,742.98, 9,304.71 and 3,758.76

Step by Step Solution

1. Step 1: Write the proportion equation
   6,742.98 : 9,304.71 = 3,758.76 : x
2. Step 2: Convert to fraction form
   6,742.98/9,304.71 = 3,758.76/x
3. Step 3: Cross multiply
   6,742.98x = 9,304.71 × 3,758.76
4. Step 4: Simplify right side
   6,742.98x = 34,974,171.76
5. Step 5: Solve for x
   x = 34,974,171.76/6,742.98
6. Step 6: Final answer
   x = 5,186.75