Finding the Fourth Proportional to 3,106.76, 4,662.41 and 2,287.24

Step by Step Solution

1. Step 1: Write the proportion equation
   3,106.76 : 4,662.41 = 2,287.24 : x
2. Step 2: Convert to fraction form
   3,106.76/4,662.41 = 2,287.24/x
3. Step 3: Cross multiply
   3,106.76x = 4,662.41 × 2,287.24
4. Step 4: Simplify right side
   3,106.76x = 10,664,040.42
5. Step 5: Solve for x
   x = 10,664,040.42/3,106.76
6. Step 6: Final answer
   x = 3,432.53