Finding the Fourth Proportional to 5,709.90, 8,560.70 and 3,856.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,709.90 : 8,560.70 = 3,856.42 : x
2. Step 2: Convert to fraction form
   5,709.90/8,560.70 = 3,856.42/x
3. Step 3: Cross multiply
   5,709.90x = 8,560.70 × 3,856.42
4. Step 4: Simplify right side
   5,709.90x = 33,013,654.69
5. Step 5: Solve for x
   x = 33,013,654.69/5,709.90
6. Step 6: Final answer
   x = 5,781.83