Finding the Fourth Proportional to 1,086.69, 1,629.99 and 470.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.69 : 1,629.99 = 470.10 : x
2. Step 2: Convert to fraction form
   1,086.69/1,629.99 = 470.10/x
3. Step 3: Cross multiply
   1,086.69x = 1,629.99 × 470.10
4. Step 4: Simplify right side
   1,086.69x = 766,258.30
5. Step 5: Solve for x
   x = 766,258.30/1,086.69
6. Step 6: Final answer
   x = 705.13