Finding the Fourth Proportional to 1,086.21, 1,629.61 and 469.77

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.21 : 1,629.61 = 469.77 : x
2. Step 2: Convert to fraction form
   1,086.21/1,629.61 = 469.77/x
3. Step 3: Cross multiply
   1,086.21x = 1,629.61 × 469.77
4. Step 4: Simplify right side
   1,086.21x = 765,547.69
5. Step 5: Solve for x
   x = 765,547.69/1,086.21
6. Step 6: Final answer
   x = 704.79