Finding the Fourth Proportional to 2,256.30, 3,383.72 and 775.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.30 : 3,383.72 = 775.16 : x
2. Step 2: Convert to fraction form
   2,256.30/3,383.72 = 775.16/x
3. Step 3: Cross multiply
   2,256.30x = 3,383.72 × 775.16
4. Step 4: Simplify right side
   2,256.30x = 2,622,924.51
5. Step 5: Solve for x
   x = 2,622,924.51/2,256.30
6. Step 6: Final answer
   x = 1,162.49