Finding the Fourth Proportional to 1,004.91, 1,506.89 and 419.82

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.91 : 1,506.89 = 419.82 : x
2. Step 2: Convert to fraction form
   1,004.91/1,506.89 = 419.82/x
3. Step 3: Cross multiply
   1,004.91x = 1,506.89 × 419.82
4. Step 4: Simplify right side
   1,004.91x = 632,620.46
5. Step 5: Solve for x
   x = 632,620.46/1,004.91
6. Step 6: Final answer
   x = 629.53