Finding the Fourth Proportional to 1,109.00, 1,662.59 and 460.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,109.00 : 1,662.59 = 460.19 : x
2. Step 2: Convert to fraction form
   1,109.00/1,662.59 = 460.19/x
3. Step 3: Cross multiply
   1,109.00x = 1,662.59 × 460.19
4. Step 4: Simplify right side
   1,109.00x = 765,112.60
5. Step 5: Solve for x
   x = 765,112.60/1,109.00
6. Step 6: Final answer
   x = 689.91