Finding the Fourth Proportional to 1,465.49, 2,022.30 and 802.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.49 : 2,022.30 = 802.22 : x
2. Step 2: Convert to fraction form
   1,465.49/2,022.30 = 802.22/x
3. Step 3: Cross multiply
   1,465.49x = 2,022.30 × 802.22
4. Step 4: Simplify right side
   1,465.49x = 1,622,329.89
5. Step 5: Solve for x
   x = 1,622,329.89/1,465.49
6. Step 6: Final answer
   x = 1,107.02