Finding the Fourth Proportional to 1,185.68, 1,636.54 and 688.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,185.68 : 1,636.54 = 688.34 : x
2. Step 2: Convert to fraction form
   1,185.68/1,636.54 = 688.34/x
3. Step 3: Cross multiply
   1,185.68x = 1,636.54 × 688.34
4. Step 4: Simplify right side
   1,185.68x = 1,126,495.94
5. Step 5: Solve for x
   x = 1,126,495.94/1,185.68
6. Step 6: Final answer
   x = 950.08