Finding the Fourth Proportional to 1,200.58, 1,801.89 and 470.68

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.58 : 1,801.89 = 470.68 : x
2. Step 2: Convert to fraction form
   1,200.58/1,801.89 = 470.68/x
3. Step 3: Cross multiply
   1,200.58x = 1,801.89 × 470.68
4. Step 4: Simplify right side
   1,200.58x = 848,109.08
5. Step 5: Solve for x
   x = 848,109.08/1,200.58
6. Step 6: Final answer
   x = 706.42