Finding the Fourth Proportional to 1,282.69, 1,769.98 and 785.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,282.69 : 1,769.98 = 785.47 : x
2. Step 2: Convert to fraction form
   1,282.69/1,769.98 = 785.47/x
3. Step 3: Cross multiply
   1,282.69x = 1,769.98 × 785.47
4. Step 4: Simplify right side
   1,282.69x = 1,390,255.38
5. Step 5: Solve for x
   x = 1,390,255.38/1,282.69
6. Step 6: Final answer
   x = 1,083.86