Finding the Fourth Proportional to 3,976.16, 5,486.46 and 2,297.30

Step by Step Solution

1. Step 1: Write the proportion equation
   3,976.16 : 5,486.46 = 2,297.30 : x
2. Step 2: Convert to fraction form
   3,976.16/5,486.46 = 2,297.30/x
3. Step 3: Cross multiply
   3,976.16x = 5,486.46 × 2,297.30
4. Step 4: Simplify right side
   3,976.16x = 12,604,044.56
5. Step 5: Solve for x
   x = 12,604,044.56/3,976.16
6. Step 6: Final answer
   x = 3,169.90