Finding the Fourth Proportional to 1,309.34, 1,806.96 and 785.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,309.34 : 1,806.96 = 785.30 : x
2. Step 2: Convert to fraction form
   1,309.34/1,806.96 = 785.30/x
3. Step 3: Cross multiply
   1,309.34x = 1,806.96 × 785.30
4. Step 4: Simplify right side
   1,309.34x = 1,419,005.69
5. Step 5: Solve for x
   x = 1,419,005.69/1,309.34
6. Step 6: Final answer
   x = 1,083.76