Finding the Fourth Proportional to 1,109.73, 1,664.82 and 460.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.73 : 1,664.82 = 460.56 : x
2. Step 2: Convert to fraction form
   1,109.73/1,664.82 = 460.56/x
3. Step 3: Cross multiply
   1,109.73x = 1,664.82 × 460.56
4. Step 4: Simplify right side
   1,109.73x = 766,749.50
5. Step 5: Solve for x
   x = 766,749.50/1,109.73
6. Step 6: Final answer
   x = 690.93