Finding the Fourth Proportional to 1,200.33, 1,799.82 and 420.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.33 : 1,799.82 = 420.12 : x
2. Step 2: Convert to fraction form
   1,200.33/1,799.82 = 420.12/x
3. Step 3: Cross multiply
   1,200.33x = 1,799.82 × 420.12
4. Step 4: Simplify right side
   1,200.33x = 756,140.38
5. Step 5: Solve for x
   x = 756,140.38/1,200.33
6. Step 6: Final answer
   x = 629.94