Finding the Fourth Proportional to 1,109.92, 1,664.67 and 460.71

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.92 : 1,664.67 = 460.71 : x
2. Step 2: Convert to fraction form
   1,109.92/1,664.67 = 460.71/x
3. Step 3: Cross multiply
   1,109.92x = 1,664.67 × 460.71
4. Step 4: Simplify right side
   1,109.92x = 766,930.12
5. Step 5: Solve for x
   x = 766,930.12/1,109.92
6. Step 6: Final answer
   x = 690.98