Finding the Fourth Proportional to 1,099.57, 1,647.93 and 823.49

Step by Step Solution

1. Step 1: Write the proportion equation
   1,099.57 : 1,647.93 = 823.49 : x
2. Step 2: Convert to fraction form
   1,099.57/1,647.93 = 823.49/x
3. Step 3: Cross multiply
   1,099.57x = 1,647.93 × 823.49
4. Step 4: Simplify right side
   1,099.57x = 1,357,053.88
5. Step 5: Solve for x
   x = 1,357,053.88/1,099.57
6. Step 6: Final answer
   x = 1,234.17