Finding the Fourth Proportional to 1,086.70, 1,629.98 and 470.10

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.70 : 1,629.98 = 470.10 : x
2. Step 2: Convert to fraction form
   1,086.70/1,629.98 = 470.10/x
3. Step 3: Cross multiply
   1,086.70x = 1,629.98 × 470.10
4. Step 4: Simplify right side
   1,086.70x = 766,253.60
5. Step 5: Solve for x
   x = 766,253.60/1,086.70
6. Step 6: Final answer
   x = 705.12