Finding the Fourth Proportional to 1,308.96, 1,806.52 and 785.28

Step by Step Solution

1. Step 1: Write the proportion equation
   1,308.96 : 1,806.52 = 785.28 : x
2. Step 2: Convert to fraction form
   1,308.96/1,806.52 = 785.28/x
3. Step 3: Cross multiply
   1,308.96x = 1,806.52 × 785.28
4. Step 4: Simplify right side
   1,308.96x = 1,418,624.03
5. Step 5: Solve for x
   x = 1,418,624.03/1,308.96
6. Step 6: Final answer
   x = 1,083.78