Finding the Fourth Proportional to 1,222.96, 1,829.52 and 980

Step by Step Solution

1. Step 1: Write the proportion equation
   1,222.96 : 1,829.52 = 980 : x
2. Step 2: Convert to fraction form
   1,222.96/1,829.52 = 980/x
3. Step 3: Cross multiply
   1,222.96x = 1,829.52 × 980
4. Step 4: Simplify right side
   1,222.96x = 1,792,929.60
5. Step 5: Solve for x
   x = 1,792,929.60/1,222.96
6. Step 6: Final answer
   x = 1,466.06