Finding the Fourth Proportional to 2,133.57, 3,201.47 and 1,024.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,133.57 : 3,201.47 = 1,024.25 : x
2. Step 2: Convert to fraction form
   2,133.57/3,201.47 = 1,024.25/x
3. Step 3: Cross multiply
   2,133.57x = 3,201.47 × 1,024.25
4. Step 4: Simplify right side
   2,133.57x = 3,279,084.52
5. Step 5: Solve for x
   x = 3,279,084.52/2,133.57
6. Step 6: Final answer
   x = 1,536.90