Finding the Fourth Proportional to 1,229.75, 1,697.16 and 705.89

Step by Step Solution

1. Step 1: Write the proportion equation
   1,229.75 : 1,697.16 = 705.89 : x
2. Step 2: Convert to fraction form
   1,229.75/1,697.16 = 705.89/x
3. Step 3: Cross multiply
   1,229.75x = 1,697.16 × 705.89
4. Step 4: Simplify right side
   1,229.75x = 1,198,008.27
5. Step 5: Solve for x
   x = 1,198,008.27/1,229.75
6. Step 6: Final answer
   x = 974.19