Finding the Fourth Proportional to 2,456.16, 3,684.51 and 896.64

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456.16 : 3,684.51 = 896.64 : x
2. Step 2: Convert to fraction form
   2,456.16/3,684.51 = 896.64/x
3. Step 3: Cross multiply
   2,456.16x = 3,684.51 × 896.64
4. Step 4: Simplify right side
   2,456.16x = 3,303,679.05
5. Step 5: Solve for x
   x = 3,303,679.05/2,456.16
6. Step 6: Final answer
   x = 1,345.06