Finding the Fourth Proportional to 3,628.50, 5,442.78 and 1,288.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,628.50 : 5,442.78 = 1,288.52 : x
2. Step 2: Convert to fraction form
   3,628.50/5,442.78 = 1,288.52/x
3. Step 3: Cross multiply
   3,628.50x = 5,442.78 × 1,288.52
4. Step 4: Simplify right side
   3,628.50x = 7,013,130.89
5. Step 5: Solve for x
   x = 7,013,130.89/3,628.50
6. Step 6: Final answer
   x = 1,932.79