Finding the Fourth Proportional to 1,448.41, 1,998.81 and 785.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,448.41 : 1,998.81 = 785.27 : x
2. Step 2: Convert to fraction form
   1,448.41/1,998.81 = 785.27/x
3. Step 3: Cross multiply
   1,448.41x = 1,998.81 × 785.27
4. Step 4: Simplify right side
   1,448.41x = 1,569,605.53
5. Step 5: Solve for x
   x = 1,569,605.53/1,448.41
6. Step 6: Final answer
   x = 1,083.67