Finding the Fourth Proportional to 1,003.69, 1,504.71 and 419.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,003.69 : 1,504.71 = 419.13 : x
2. Step 2: Convert to fraction form
   1,003.69/1,504.71 = 419.13/x
3. Step 3: Cross multiply
   1,003.69x = 1,504.71 × 419.13
4. Step 4: Simplify right side
   1,003.69x = 630,669.10
5. Step 5: Solve for x
   x = 630,669.10/1,003.69
6. Step 6: Final answer
   x = 628.35