Finding the Fourth Proportional to 1,109.27, 1,664.09 and 460.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.27 : 1,664.09 = 460.05 : x
2. Step 2: Convert to fraction form
   1,109.27/1,664.09 = 460.05/x
3. Step 3: Cross multiply
   1,109.27x = 1,664.09 × 460.05
4. Step 4: Simplify right side
   1,109.27x = 765,562.30
5. Step 5: Solve for x
   x = 765,562.30/1,109.27
6. Step 6: Final answer
   x = 690.15