Finding the Fourth Proportional to 3,857.52, 5,782.23 and 1,905.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,857.52 : 5,782.23 = 1,905.69 : x
2. Step 2: Convert to fraction form
   3,857.52/5,782.23 = 1,905.69/x
3. Step 3: Cross multiply
   3,857.52x = 5,782.23 × 1,905.69
4. Step 4: Simplify right side
   3,857.52x = 11,019,137.89
5. Step 5: Solve for x
   x = 11,019,137.89/3,857.52
6. Step 6: Final answer
   x = 2,856.53