Finding the Fourth Proportional to 1,109.06, 1,664.34 and 459.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.06 : 1,664.34 = 459.79 : x
2. Step 2: Convert to fraction form
   1,109.06/1,664.34 = 459.79/x
3. Step 3: Cross multiply
   1,109.06x = 1,664.34 × 459.79
4. Step 4: Simplify right side
   1,109.06x = 765,246.89
5. Step 5: Solve for x
   x = 765,246.89/1,109.06
6. Step 6: Final answer
   x = 690.00