Finding the Fourth Proportional to 3,836.74, 5,314.76 and 3,758.98

Step by Step Solution

1. Step 1: Write the proportion equation
   3,836.74 : 5,314.76 = 3,758.98 : x
2. Step 2: Convert to fraction form
   3,836.74/5,314.76 = 3,758.98/x
3. Step 3: Cross multiply
   3,836.74x = 5,314.76 × 3,758.98
4. Step 4: Simplify right side
   3,836.74x = 19,978,057.75
5. Step 5: Solve for x
   x = 19,978,057.75/3,836.74
6. Step 6: Final answer
   x = 5,207.04