Finding the Fourth Proportional to 1,105.77, 1,658.48 and 365.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.77 : 1,658.48 = 365.37 : x
2. Step 2: Convert to fraction form
   1,105.77/1,658.48 = 365.37/x
3. Step 3: Cross multiply
   1,105.77x = 1,658.48 × 365.37
4. Step 4: Simplify right side
   1,105.77x = 605,957.01
5. Step 5: Solve for x
   x = 605,957.01/1,105.77
6. Step 6: Final answer
   x = 548.00