Finding the Fourth Proportional to 1,309.29, 1,806.98 and 785.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,309.29 : 1,806.98 = 785.31 : x
2. Step 2: Convert to fraction form
   1,309.29/1,806.98 = 785.31/x
3. Step 3: Cross multiply
   1,309.29x = 1,806.98 × 785.31
4. Step 4: Simplify right side
   1,309.29x = 1,419,039.46
5. Step 5: Solve for x
   x = 1,419,039.46/1,309.29
6. Step 6: Final answer
   x = 1,083.82