Finding the Fourth Proportional to 2,627.76, 3,942.20 and 896.24

Step by Step Solution

1. Step 1: Write the proportion equation
   2,627.76 : 3,942.20 = 896.24 : x
2. Step 2: Convert to fraction form
   2,627.76/3,942.20 = 896.24/x
3. Step 3: Cross multiply
   2,627.76x = 3,942.20 × 896.24
4. Step 4: Simplify right side
   2,627.76x = 3,533,157.33
5. Step 5: Solve for x
   x = 3,533,157.33/2,627.76
6. Step 6: Final answer
   x = 1,344.55