Finding the Fourth Proportional to 1,185.92, 1,636.56 and 688.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.92 : 1,636.56 = 688.59 : x
2. Step 2: Convert to fraction form
   1,185.92/1,636.56 = 688.59/x
3. Step 3: Cross multiply
   1,185.92x = 1,636.56 × 688.59
4. Step 4: Simplify right side
   1,185.92x = 1,126,918.85
5. Step 5: Solve for x
   x = 1,126,918.85/1,185.92
6. Step 6: Final answer
   x = 950.25