Finding the Fourth Proportional to 2,256.93, 3,384.59 and 1,022.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.93 : 3,384.59 = 1,022.09 : x
2. Step 2: Convert to fraction form
   2,256.93/3,384.59 = 1,022.09/x
3. Step 3: Cross multiply
   2,256.93x = 3,384.59 × 1,022.09
4. Step 4: Simplify right side
   2,256.93x = 3,459,333.56
5. Step 5: Solve for x
   x = 3,459,333.56/2,256.93
6. Step 6: Final answer
   x = 1,532.76