Finding the Fourth Proportional to 1,096.18, 1,643.94 and 365.62

Step by Step Solution

1. Step 1: Write the proportion equation
   1,096.18 : 1,643.94 = 365.62 : x
2. Step 2: Convert to fraction form
   1,096.18/1,643.94 = 365.62/x
3. Step 3: Cross multiply
   1,096.18x = 1,643.94 × 365.62
4. Step 4: Simplify right side
   1,096.18x = 601,057.34
5. Step 5: Solve for x
   x = 601,057.34/1,096.18
6. Step 6: Final answer
   x = 548.32