Finding the Fourth Proportional to 1,109.57, 1,663.44 and 460.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.57 : 1,663.44 = 460.15 : x
2. Step 2: Convert to fraction form
   1,109.57/1,663.44 = 460.15/x
3. Step 3: Cross multiply
   1,109.57x = 1,663.44 × 460.15
4. Step 4: Simplify right side
   1,109.57x = 765,426.03
5. Step 5: Solve for x
   x = 765,426.03/1,109.57
6. Step 6: Final answer
   x = 689.84