Finding the Fourth Proportional to 3,825.30, 5,743.76 and 3,637.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,825.30 : 5,743.76 = 3,637.38 : x
2. Step 2: Convert to fraction form
   3,825.30/5,743.76 = 3,637.38/x
3. Step 3: Cross multiply
   3,825.30x = 5,743.76 × 3,637.38
4. Step 4: Simplify right side
   3,825.30x = 20,892,219.56
5. Step 5: Solve for x
   x = 20,892,219.56/3,825.30
6. Step 6: Final answer
   x = 5,461.59