Finding the Fourth Proportional to 1,448.40, 1,998.78 and 785.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,448.40 : 1,998.78 = 785.27 : x
2. Step 2: Convert to fraction form
   1,448.40/1,998.78 = 785.27/x
3. Step 3: Cross multiply
   1,448.40x = 1,998.78 × 785.27
4. Step 4: Simplify right side
   1,448.40x = 1,569,571.98
5. Step 5: Solve for x
   x = 1,569,571.98/1,448.40
6. Step 6: Final answer
   x = 1,083.66