Finding the Fourth Proportional to 1,465.25, 2,022.23 and 942.80

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.25 : 2,022.23 = 942.80 : x
2. Step 2: Convert to fraction form
   1,465.25/2,022.23 = 942.80/x
3. Step 3: Cross multiply
   1,465.25x = 2,022.23 × 942.80
4. Step 4: Simplify right side
   1,465.25x = 1,906,550.69
5. Step 5: Solve for x
   x = 1,906,550.69/1,465.25
6. Step 6: Final answer
   x = 1,301.18