Finding the Fourth Proportional to 1,456.40, 2,007.78 and 983.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.40 : 2,007.78 = 983.48 : x
2. Step 2: Convert to fraction form
   1,456.40/2,007.78 = 983.48/x
3. Step 3: Cross multiply
   1,456.40x = 2,007.78 × 983.48
4. Step 4: Simplify right side
   1,456.40x = 1,974,611.47
5. Step 5: Solve for x
   x = 1,974,611.47/1,456.40
6. Step 6: Final answer
   x = 1,355.82