Finding the Fourth Proportional to 1,229.50, 1,696.71 and 677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,229.50 : 1,696.71 = 677.50 : x
2. Step 2: Convert to fraction form
   1,229.50/1,696.71 = 677.50/x
3. Step 3: Cross multiply
   1,229.50x = 1,696.71 × 677.50
4. Step 4: Simplify right side
   1,229.50x = 1,149,521.03
5. Step 5: Solve for x
   x = 1,149,521.03/1,229.50
6. Step 6: Final answer
   x = 934.95