Finding the Fourth Proportional to 1,465.43, 2,022.31 and 802.29

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.43 : 2,022.31 = 802.29 : x
2. Step 2: Convert to fraction form
   1,465.43/2,022.31 = 802.29/x
3. Step 3: Cross multiply
   1,465.43x = 2,022.31 × 802.29
4. Step 4: Simplify right side
   1,465.43x = 1,622,483.88
5. Step 5: Solve for x
   x = 1,622,483.88/1,465.43
6. Step 6: Final answer
   x = 1,107.17