Finding the Fourth Proportional to 1,109.37, 1,663.25 and 459.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.37 : 1,663.25 = 459.75 : x
2. Step 2: Convert to fraction form
   1,109.37/1,663.25 = 459.75/x
3. Step 3: Cross multiply
   1,109.37x = 1,663.25 × 459.75
4. Step 4: Simplify right side
   1,109.37x = 764,676.89
5. Step 5: Solve for x
   x = 764,676.89/1,109.37
6. Step 6: Final answer
   x = 689.29