Finding the Fourth Proportional to 1,200.47, 1,799.62 and 470.54

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.47 : 1,799.62 = 470.54 : x
2. Step 2: Convert to fraction form
   1,200.47/1,799.62 = 470.54/x
3. Step 3: Cross multiply
   1,200.47x = 1,799.62 × 470.54
4. Step 4: Simplify right side
   1,200.47x = 846,796.52
5. Step 5: Solve for x
   x = 846,796.52/1,200.47
6. Step 6: Final answer
   x = 705.39