Finding the Fourth Proportional to 1,105.71, 1,659.22 and 412.86

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.71 : 1,659.22 = 412.86 : x
2. Step 2: Convert to fraction form
   1,105.71/1,659.22 = 412.86/x
3. Step 3: Cross multiply
   1,105.71x = 1,659.22 × 412.86
4. Step 4: Simplify right side
   1,105.71x = 685,031.73
5. Step 5: Solve for x
   x = 685,031.73/1,105.71
6. Step 6: Final answer
   x = 619.54