Finding the Fourth Proportional to 1,002.42, 1,503.94 and 353.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.42 : 1,503.94 = 353.22 : x
2. Step 2: Convert to fraction form
   1,002.42/1,503.94 = 353.22/x
3. Step 3: Cross multiply
   1,002.42x = 1,503.94 × 353.22
4. Step 4: Simplify right side
   1,002.42x = 531,221.69
5. Step 5: Solve for x
   x = 531,221.69/1,002.42
6. Step 6: Final answer
   x = 529.94