Finding the Fourth Proportional to 1,448.31, 1,998.66 and 785.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,448.31 : 1,998.66 = 785.15 : x
2. Step 2: Convert to fraction form
   1,448.31/1,998.66 = 785.15/x
3. Step 3: Cross multiply
   1,448.31x = 1,998.66 × 785.15
4. Step 4: Simplify right side
   1,448.31x = 1,569,247.90
5. Step 5: Solve for x
   x = 1,569,247.90/1,448.31
6. Step 6: Final answer
   x = 1,083.50