Finding the Fourth Proportional to 1,200.03, 1,799.62 and 419.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,200.03 : 1,799.62 = 419.82 : x
2. Step 2: Convert to fraction form
   1,200.03/1,799.62 = 419.82/x
3. Step 3: Cross multiply
   1,200.03x = 1,799.62 × 419.82
4. Step 4: Simplify right side
   1,200.03x = 755,514.37
5. Step 5: Solve for x
   x = 755,514.37/1,200.03
6. Step 6: Final answer
   x = 629.58