Finding the Fourth Proportional to 1,200.49, 1,801.17 and 470.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.49 : 1,801.17 = 470.57 : x
2. Step 2: Convert to fraction form
   1,200.49/1,801.17 = 470.57/x
3. Step 3: Cross multiply
   1,200.49x = 1,801.17 × 470.57
4. Step 4: Simplify right side
   1,200.49x = 847,567.56
5. Step 5: Solve for x
   x = 847,567.56/1,200.49
6. Step 6: Final answer
   x = 706.02