Finding the Fourth Proportional to 1,086.83, 1,629.89 and 470.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.83 : 1,629.89 = 470.15 : x
2. Step 2: Convert to fraction form
   1,086.83/1,629.89 = 470.15/x
3. Step 3: Cross multiply
   1,086.83x = 1,629.89 × 470.15
4. Step 4: Simplify right side
   1,086.83x = 766,290.43
5. Step 5: Solve for x
   x = 766,290.43/1,086.83
6. Step 6: Final answer
   x = 705.07