Finding the Fourth Proportional to 3,836.24, 5,314.06 and 3,758.48

Step by Step Solution

1. Step 1: Write the proportion equation
   3,836.24 : 5,314.06 = 3,758.48 : x
2. Step 2: Convert to fraction form
   3,836.24/5,314.06 = 3,758.48/x
3. Step 3: Cross multiply
   3,836.24x = 5,314.06 × 3,758.48
4. Step 4: Simplify right side
   3,836.24x = 19,972,788.23
5. Step 5: Solve for x
   x = 19,972,788.23/3,836.24
6. Step 6: Final answer
   x = 5,206.34