Finding the Fourth Proportional to 2,627.80, 3,940.89 and 896.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,627.80 : 3,940.89 = 896.02 : x
2. Step 2: Convert to fraction form
   2,627.80/3,940.89 = 896.02/x
3. Step 3: Cross multiply
   2,627.80x = 3,940.89 × 896.02
4. Step 4: Simplify right side
   2,627.80x = 3,531,116.26
5. Step 5: Solve for x
   x = 3,531,116.26/2,627.80
6. Step 6: Final answer
   x = 1,343.75