Finding the Fourth Proportional to 1,096.72, 1,643.54 and 822.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.72 : 1,643.54 = 822.50 : x
2. Step 2: Convert to fraction form
   1,096.72/1,643.54 = 822.50/x
3. Step 3: Cross multiply
   1,096.72x = 1,643.54 × 822.50
4. Step 4: Simplify right side
   1,096.72x = 1,351,805.48
5. Step 5: Solve for x
   x = 1,351,805.48/1,096.72
6. Step 6: Final answer
   x = 1,232.59