Finding the Fourth Proportional to 1,004.24, 1,506.01 and 388.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.24 : 1,506.01 = 388.15 : x
2. Step 2: Convert to fraction form
   1,004.24/1,506.01 = 388.15/x
3. Step 3: Cross multiply
   1,004.24x = 1,506.01 × 388.15
4. Step 4: Simplify right side
   1,004.24x = 584,557.78
5. Step 5: Solve for x
   x = 584,557.78/1,004.24
6. Step 6: Final answer
   x = 582.09