Finding the Fourth Proportional to 1,185.59, 1,636.23 and 688.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.59 : 1,636.23 = 688.19 : x
2. Step 2: Convert to fraction form
   1,185.59/1,636.23 = 688.19/x
3. Step 3: Cross multiply
   1,185.59x = 1,636.23 × 688.19
4. Step 4: Simplify right side
   1,185.59x = 1,126,037.12
5. Step 5: Solve for x
   x = 1,126,037.12/1,185.59
6. Step 6: Final answer
   x = 949.77