Finding the Fourth Proportional to 1,465.72, 2,022.69 and 802.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.72 : 2,022.69 = 802.57 : x
2. Step 2: Convert to fraction form
   1,465.72/2,022.69 = 802.57/x
3. Step 3: Cross multiply
   1,465.72x = 2,022.69 × 802.57
4. Step 4: Simplify right side
   1,465.72x = 1,623,352.84
5. Step 5: Solve for x
   x = 1,623,352.84/1,465.72
6. Step 6: Final answer
   x = 1,107.55