Finding the Fourth Proportional to 1,092.23, 1,638.33 and 270.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.23 : 1,638.33 = 270.50 : x
2. Step 2: Convert to fraction form
   1,092.23/1,638.33 = 270.50/x
3. Step 3: Cross multiply
   1,092.23x = 1,638.33 × 270.50
4. Step 4: Simplify right side
   1,092.23x = 443,168.27
5. Step 5: Solve for x
   x = 443,168.27/1,092.23
6. Step 6: Final answer
   x = 405.75