Finding the Fourth Proportional to 1,112.98, 1,669.37 and 419.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,112.98 : 1,669.37 = 419.42 : x
2. Step 2: Convert to fraction form
   1,112.98/1,669.37 = 419.42/x
3. Step 3: Cross multiply
   1,112.98x = 1,669.37 × 419.42
4. Step 4: Simplify right side
   1,112.98x = 700,167.17
5. Step 5: Solve for x
   x = 700,167.17/1,112.98
6. Step 6: Final answer
   x = 629.09