Finding the Fourth Proportional to 1,002.33, 1,383.14 and 609.48

Step by Step Solution

1. Step 1: Write the proportion equation
   1,002.33 : 1,383.14 = 609.48 : x
2. Step 2: Convert to fraction form
   1,002.33/1,383.14 = 609.48/x
3. Step 3: Cross multiply
   1,002.33x = 1,383.14 × 609.48
4. Step 4: Simplify right side
   1,002.33x = 842,997.69
5. Step 5: Solve for x
   x = 842,997.69/1,002.33
6. Step 6: Final answer
   x = 841.04