Finding the Fourth Proportional to 3,837.69, 5,297.38 and 2,265.79

Step by Step Solution

1. Step 1: Write the proportion equation
   3,837.69 : 5,297.38 = 2,265.79 : x
2. Step 2: Convert to fraction form
   3,837.69/5,297.38 = 2,265.79/x
3. Step 3: Cross multiply
   3,837.69x = 5,297.38 × 2,265.79
4. Step 4: Simplify right side
   3,837.69x = 12,002,727.27
5. Step 5: Solve for x
   x = 12,002,727.27/3,837.69
6. Step 6: Final answer
   x = 3,127.59