Finding the Fourth Proportional to 2,627.63, 3,942.05 and 896.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,627.63 : 3,942.05 = 896.25 : x
2. Step 2: Convert to fraction form
   2,627.63/3,942.05 = 896.25/x
3. Step 3: Cross multiply
   2,627.63x = 3,942.05 × 896.25
4. Step 4: Simplify right side
   2,627.63x = 3,533,062.31
5. Step 5: Solve for x
   x = 3,533,062.31/2,627.63
6. Step 6: Final answer
   x = 1,344.58