Finding the Fourth Proportional to 1,086.14, 1,629.35 and 469.83

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.14 : 1,629.35 = 469.83 : x
2. Step 2: Convert to fraction form
   1,086.14/1,629.35 = 469.83/x
3. Step 3: Cross multiply
   1,086.14x = 1,629.35 × 469.83
4. Step 4: Simplify right side
   1,086.14x = 765,523.03
5. Step 5: Solve for x
   x = 765,523.03/1,086.14
6. Step 6: Final answer
   x = 704.81