Finding the Fourth Proportional to 1,096.26, 1,644.42 and 365.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.26 : 1,644.42 = 365.82 : x
2. Step 2: Convert to fraction form
   1,096.26/1,644.42 = 365.82/x
3. Step 3: Cross multiply
   1,096.26x = 1,644.42 × 365.82
4. Step 4: Simplify right side
   1,096.26x = 601,561.72
5. Step 5: Solve for x
   x = 601,561.72/1,096.26
6. Step 6: Final answer
   x = 548.74