Finding the Fourth Proportional to 1,419.20, 1,959.72 and 896.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.20 : 1,959.72 = 896.16 : x
2. Step 2: Convert to fraction form
   1,419.20/1,959.72 = 896.16/x
3. Step 3: Cross multiply
   1,419.20x = 1,959.72 × 896.16
4. Step 4: Simplify right side
   1,419.20x = 1,756,222.68
5. Step 5: Solve for x
   x = 1,756,222.68/1,419.20
6. Step 6: Final answer
   x = 1,237.47