Finding the Fourth Proportional to 2,002.24, 3,002.82 and 905.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,002.24 : 3,002.82 = 905.50 : x
2. Step 2: Convert to fraction form
   2,002.24/3,002.82 = 905.50/x
3. Step 3: Cross multiply
   2,002.24x = 3,002.82 × 905.50
4. Step 4: Simplify right side
   2,002.24x = 2,719,053.51
5. Step 5: Solve for x
   x = 2,719,053.51/2,002.24
6. Step 6: Final answer
   x = 1,358.01