Finding the Fourth Proportional to 1,185.94, 1,636.50 and 688.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.94 : 1,636.50 = 688.42 : x
2. Step 2: Convert to fraction form
   1,185.94/1,636.50 = 688.42/x
3. Step 3: Cross multiply
   1,185.94x = 1,636.50 × 688.42
4. Step 4: Simplify right side
   1,185.94x = 1,126,599.33
5. Step 5: Solve for x
   x = 1,126,599.33/1,185.94
6. Step 6: Final answer
   x = 949.96