Finding the Fourth Proportional to 1,427.88, 1,969.20 and 896.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.88 : 1,969.20 = 896.82 : x
2. Step 2: Convert to fraction form
   1,427.88/1,969.20 = 896.82/x
3. Step 3: Cross multiply
   1,427.88x = 1,969.20 × 896.82
4. Step 4: Simplify right side
   1,427.88x = 1,766,007.91
5. Step 5: Solve for x
   x = 1,766,007.91/1,427.88
6. Step 6: Final answer
   x = 1,236.80