Finding the Fourth Proportional to 1,105.78, 1,658.64 and 375.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.78 : 1,658.64 = 375.16 : x
2. Step 2: Convert to fraction form
   1,105.78/1,658.64 = 375.16/x
3. Step 3: Cross multiply
   1,105.78x = 1,658.64 × 375.16
4. Step 4: Simplify right side
   1,105.78x = 622,255.38
5. Step 5: Solve for x
   x = 622,255.38/1,105.78
6. Step 6: Final answer
   x = 562.73