Finding the Fourth Proportional to 1,185.73, 1,636.38 and 786.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.73 : 1,636.38 = 786.69 : x
2. Step 2: Convert to fraction form
   1,185.73/1,636.38 = 786.69/x
3. Step 3: Cross multiply
   1,185.73x = 1,636.38 × 786.69
4. Step 4: Simplify right side
   1,185.73x = 1,287,323.78
5. Step 5: Solve for x
   x = 1,287,323.78/1,185.73
6. Step 6: Final answer
   x = 1,085.68