Finding the Fourth Proportional to 1,092.67, 1,638.56 and 362.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.67 : 1,638.56 = 362.05 : x
2. Step 2: Convert to fraction form
   1,092.67/1,638.56 = 362.05/x
3. Step 3: Cross multiply
   1,092.67x = 1,638.56 × 362.05
4. Step 4: Simplify right side
   1,092.67x = 593,237.46
5. Step 5: Solve for x
   x = 593,237.46/1,092.67
6. Step 6: Final answer
   x = 542.93