Finding the Fourth Proportional to 3,832.38, 5,710.02 and 3,580.92

Step by Step Solution

1. Step 1: Write the proportion equation
   3,832.38 : 5,710.02 = 3,580.92 : x
2. Step 2: Convert to fraction form
   3,832.38/5,710.02 = 3,580.92/x
3. Step 3: Cross multiply
   3,832.38x = 5,710.02 × 3,580.92
4. Step 4: Simplify right side
   3,832.38x = 20,447,124.82
5. Step 5: Solve for x
   x = 20,447,124.82/3,832.38
6. Step 6: Final answer
   x = 5,335.36