Finding the Fourth Proportional to 1,185.50, 1,636.01 and 688.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.50 : 1,636.01 = 688.41 : x
2. Step 2: Convert to fraction form
   1,185.50/1,636.01 = 688.41/x
3. Step 3: Cross multiply
   1,185.50x = 1,636.01 × 688.41
4. Step 4: Simplify right side
   1,185.50x = 1,126,242.20
5. Step 5: Solve for x
   x = 1,126,242.20/1,185.50
6. Step 6: Final answer
   x = 950.02