Finding the Fourth Proportional to 2,256.42, 3,385.06 and 1,024.42

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256.42 : 3,385.06 = 1,024.42 : x
2. Step 2: Convert to fraction form
   2,256.42/3,385.06 = 1,024.42/x
3. Step 3: Cross multiply
   2,256.42x = 3,385.06 × 1,024.42
4. Step 4: Simplify right side
   2,256.42x = 3,467,723.17
5. Step 5: Solve for x
   x = 3,467,723.17/2,256.42
6. Step 6: Final answer
   x = 1,536.83