Finding the Fourth Proportional to 1,072.69, 1,608.73 and 414.51

Step by Step Solution

1. Step 1: Write the proportion equation
   1,072.69 : 1,608.73 = 414.51 : x
2. Step 2: Convert to fraction form
   1,072.69/1,608.73 = 414.51/x
3. Step 3: Cross multiply
   1,072.69x = 1,608.73 × 414.51
4. Step 4: Simplify right side
   1,072.69x = 666,834.67
5. Step 5: Solve for x
   x = 666,834.67/1,072.69
6. Step 6: Final answer
   x = 621.65