Finding the Fourth Proportional to 1,086.41, 1,629.81 and 470.00

Step by Step Solution

1. Step 1: Write the proportion equation
   1,086.41 : 1,629.81 = 470.00 : x
2. Step 2: Convert to fraction form
   1,086.41/1,629.81 = 470.00/x
3. Step 3: Cross multiply
   1,086.41x = 1,629.81 × 470.00
4. Step 4: Simplify right side
   1,086.41x = 766,002.55
5. Step 5: Solve for x
   x = 766,002.55/1,086.41
6. Step 6: Final answer
   x = 705.08