Finding the Fourth Proportional to 1,185.88, 1,636.52 and 681.60

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.88 : 1,636.52 = 681.60 : x
2. Step 2: Convert to fraction form
   1,185.88/1,636.52 = 681.60/x
3. Step 3: Cross multiply
   1,185.88x = 1,636.52 × 681.60
4. Step 4: Simplify right side
   1,185.88x = 1,115,452.03
5. Step 5: Solve for x
   x = 1,115,452.03/1,185.88
6. Step 6: Final answer
   x = 940.61