Finding the Fourth Proportional to 1,105.51, 1,658.61 and 412.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.51 : 1,658.61 = 412.27 : x
2. Step 2: Convert to fraction form
   1,105.51/1,658.61 = 412.27/x
3. Step 3: Cross multiply
   1,105.51x = 1,658.61 × 412.27
4. Step 4: Simplify right side
   1,105.51x = 683,795.14
5. Step 5: Solve for x
   x = 683,795.14/1,105.51
6. Step 6: Final answer
   x = 618.54