Finding the Fourth Proportional to 1,105.72, 1,658.65 and 412.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.72 : 1,658.65 = 412.37 : x
2. Step 2: Convert to fraction form
   1,105.72/1,658.65 = 412.37/x
3. Step 3: Cross multiply
   1,105.72x = 1,658.65 × 412.37
4. Step 4: Simplify right side
   1,105.72x = 683,977.50
5. Step 5: Solve for x
   x = 683,977.50/1,105.72
6. Step 6: Final answer
   x = 618.58