Finding the Fourth Proportional to 1,465.83, 2,022.89 and 802.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.83 : 2,022.89 = 802.73 : x
2. Step 2: Convert to fraction form
   1,465.83/2,022.89 = 802.73/x
3. Step 3: Cross multiply
   1,465.83x = 2,022.89 × 802.73
4. Step 4: Simplify right side
   1,465.83x = 1,623,825.69
5. Step 5: Solve for x
   x = 1,623,825.69/1,465.83
6. Step 6: Final answer
   x = 1,107.79