Finding the Fourth Proportional to 1,200.71, 1,799.99 and 470.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.71 : 1,799.99 = 470.80 : x
2. Step 2: Convert to fraction form
   1,200.71/1,799.99 = 470.80/x
3. Step 3: Cross multiply
   1,200.71x = 1,799.99 × 470.80
4. Step 4: Simplify right side
   1,200.71x = 847,426.29
5. Step 5: Solve for x
   x = 847,426.29/1,200.71
6. Step 6: Final answer
   x = 705.77