Finding the Fourth Proportional to 1,086.98, 1,629.99 and 470.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.98 : 1,629.99 = 470.34 : x
2. Step 2: Convert to fraction form
   1,086.98/1,629.99 = 470.34/x
3. Step 3: Cross multiply
   1,086.98x = 1,629.99 × 470.34
4. Step 4: Simplify right side
   1,086.98x = 766,649.50
5. Step 5: Solve for x
   x = 766,649.50/1,086.98
6. Step 6: Final answer
   x = 705.31