Finding the Fourth Proportional to 1,109.89, 1,664.63 and 451.61

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.89 : 1,664.63 = 451.61 : x
2. Step 2: Convert to fraction form
   1,109.89/1,664.63 = 451.61/x
3. Step 3: Cross multiply
   1,109.89x = 1,664.63 × 451.61
4. Step 4: Simplify right side
   1,109.89x = 751,760.91
5. Step 5: Solve for x
   x = 751,760.91/1,109.89
6. Step 6: Final answer
   x = 677.33