Finding the Fourth Proportional to 2,456.28, 3,680.88 and 1,416.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.28 : 3,680.88 = 1,416.24 : x
2. Step 2: Convert to fraction form
   2,456.28/3,680.88 = 1,416.24/x
3. Step 3: Cross multiply
   2,456.28x = 3,680.88 × 1,416.24
4. Step 4: Simplify right side
   2,456.28x = 5,213,009.49
5. Step 5: Solve for x
   x = 5,213,009.49/2,456.28
6. Step 6: Final answer
   x = 2,122.32