Finding the Fourth Proportional to 1,109.27, 1,664.04 and 460.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.27 : 1,664.04 = 460.46 : x
2. Step 2: Convert to fraction form
   1,109.27/1,664.04 = 460.46/x
3. Step 3: Cross multiply
   1,109.27x = 1,664.04 × 460.46
4. Step 4: Simplify right side
   1,109.27x = 766,223.86
5. Step 5: Solve for x
   x = 766,223.86/1,109.27
6. Step 6: Final answer
   x = 690.75