Finding the Fourth Proportional to 1,448.31, 1,998.67 and 785.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,448.31 : 1,998.67 = 785.16 : x
2. Step 2: Convert to fraction form
   1,448.31/1,998.67 = 785.16/x
3. Step 3: Cross multiply
   1,448.31x = 1,998.67 × 785.16
4. Step 4: Simplify right side
   1,448.31x = 1,569,273.04
5. Step 5: Solve for x
   x = 1,569,273.04/1,448.31
6. Step 6: Final answer
   x = 1,083.52