Finding the Fourth Proportional to 1,465.33, 2,022.18 and 905.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,465.33 : 2,022.18 = 905.78 : x
2. Step 2: Convert to fraction form
   1,465.33/2,022.18 = 905.78/x
3. Step 3: Cross multiply
   1,465.33x = 2,022.18 × 905.78
4. Step 4: Simplify right side
   1,465.33x = 1,831,653.13
5. Step 5: Solve for x
   x = 1,831,653.13/1,465.33
6. Step 6: Final answer
   x = 1,250.00