Finding the Fourth Proportional to 1,222.98, 1,686.78 and 849.96

Step by Step Solution

1. Step 1: Write the proportion equation
   1,222.98 : 1,686.78 = 849.96 : x
2. Step 2: Convert to fraction form
   1,222.98/1,686.78 = 849.96/x
3. Step 3: Cross multiply
   1,222.98x = 1,686.78 × 849.96
4. Step 4: Simplify right side
   1,222.98x = 1,433,695.53
5. Step 5: Solve for x
   x = 1,433,695.53/1,222.98
6. Step 6: Final answer
   x = 1,172.30