Finding the Fourth Proportional to 1,004.69, 1,506.99 and 419.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.69 : 1,506.99 = 419.47 : x
2. Step 2: Convert to fraction form
   1,004.69/1,506.99 = 419.47/x
3. Step 3: Cross multiply
   1,004.69x = 1,506.99 × 419.47
4. Step 4: Simplify right side
   1,004.69x = 632,127.46
5. Step 5: Solve for x
   x = 632,127.46/1,004.69
6. Step 6: Final answer
   x = 629.18