Finding the Fourth Proportional to 1,109.08, 1,662.18 and 459.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.08 : 1,662.18 = 459.46 : x
2. Step 2: Convert to fraction form
   1,109.08/1,662.18 = 459.46/x
3. Step 3: Cross multiply
   1,109.08x = 1,662.18 × 459.46
4. Step 4: Simplify right side
   1,109.08x = 763,705.22
5. Step 5: Solve for x
   x = 763,705.22/1,109.08
6. Step 6: Final answer
   x = 688.59