Finding the Fourth Proportional to 1,465.47, 2,022.27 and 802.35

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.47 : 2,022.27 = 802.35 : x
2. Step 2: Convert to fraction form
   1,465.47/2,022.27 = 802.35/x
3. Step 3: Cross multiply
   1,465.47x = 2,022.27 × 802.35
4. Step 4: Simplify right side
   1,465.47x = 1,622,568.33
5. Step 5: Solve for x
   x = 1,622,568.33/1,465.47
6. Step 6: Final answer
   x = 1,107.20