Finding the Fourth Proportional to 1,096.50, 1,513.17 and 816.98

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.50 : 1,513.17 = 816.98 : x
2. Step 2: Convert to fraction form
   1,096.50/1,513.17 = 816.98/x
3. Step 3: Cross multiply
   1,096.50x = 1,513.17 × 816.98
4. Step 4: Simplify right side
   1,096.50x = 1,236,222.06
5. Step 5: Solve for x
   x = 1,236,222.06/1,096.50
6. Step 6: Final answer
   x = 1,127.43