Finding the Fourth Proportional to 1,004.42, 1,506.83 and 355.07

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.42 : 1,506.83 = 355.07 : x
2. Step 2: Convert to fraction form
   1,004.42/1,506.83 = 355.07/x
3. Step 3: Cross multiply
   1,004.42x = 1,506.83 × 355.07
4. Step 4: Simplify right side
   1,004.42x = 535,020.82
5. Step 5: Solve for x
   x = 535,020.82/1,004.42
6. Step 6: Final answer
   x = 532.67