Finding the Fourth Proportional to 3,825.38, 5,732.59 and 2,178.52

Step by Step Solution

1. Step 1: Write the proportion equation
   3,825.38 : 5,732.59 = 2,178.52 : x
2. Step 2: Convert to fraction form
   3,825.38/5,732.59 = 2,178.52/x
3. Step 3: Cross multiply
   3,825.38x = 5,732.59 × 2,178.52
4. Step 4: Simplify right side
   3,825.38x = 12,488,542.19
5. Step 5: Solve for x
   x = 12,488,542.19/3,825.38
6. Step 6: Final answer
   x = 3,264.66