Finding the Fourth Proportional to 1,465.51, 2,022.27 and 802.37

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.51 : 2,022.27 = 802.37 : x
2. Step 2: Convert to fraction form
   1,465.51/2,022.27 = 802.37/x
3. Step 3: Cross multiply
   1,465.51x = 2,022.27 × 802.37
4. Step 4: Simplify right side
   1,465.51x = 1,622,610.83
5. Step 5: Solve for x
   x = 1,622,610.83/1,465.51
6. Step 6: Final answer
   x = 1,107.20