Finding the Fourth Proportional to 1,105.00, 1,657.71 and 412.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,105.00 : 1,657.71 = 412.16 : x
2. Step 2: Convert to fraction form
   1,105.00/1,657.71 = 412.16/x
3. Step 3: Cross multiply
   1,105.00x = 1,657.71 × 412.16
4. Step 4: Simplify right side
   1,105.00x = 683,233.47
5. Step 5: Solve for x
   x = 683,233.47/1,105.00
6. Step 6: Final answer
   x = 618.31