Finding the Fourth Proportional to 1,465.59, 2,022.56 and 802.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.59 : 2,022.56 = 802.42 : x
2. Step 2: Convert to fraction form
   1,465.59/2,022.56 = 802.42/x
3. Step 3: Cross multiply
   1,465.59x = 2,022.56 × 802.42
4. Step 4: Simplify right side
   1,465.59x = 1,622,942.60
5. Step 5: Solve for x
   x = 1,622,942.60/1,465.59
6. Step 6: Final answer
   x = 1,107.36