Finding the Fourth Proportional to 1,092.69, 1,638.42 and 362.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.69 : 1,638.42 = 362.07 : x
2. Step 2: Convert to fraction form
   1,092.69/1,638.42 = 362.07/x
3. Step 3: Cross multiply
   1,092.69x = 1,638.42 × 362.07
4. Step 4: Simplify right side
   1,092.69x = 593,222.73
5. Step 5: Solve for x
   x = 593,222.73/1,092.69
6. Step 6: Final answer
   x = 542.90