Finding the Fourth Proportional to 1,282.89, 1,769.80 and 785.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,282.89 : 1,769.80 = 785.33 : x
2. Step 2: Convert to fraction form
   1,282.89/1,769.80 = 785.33/x
3. Step 3: Cross multiply
   1,282.89x = 1,769.80 × 785.33
4. Step 4: Simplify right side
   1,282.89x = 1,389,870.15
5. Step 5: Solve for x
   x = 1,389,870.15/1,282.89
6. Step 6: Final answer
   x = 1,083.39