Finding the Fourth Proportional to 5,856.14, 8,085.96 and 3,869.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,856.14 : 8,085.96 = 3,869.42 : x
2. Step 2: Convert to fraction form
   5,856.14/8,085.96 = 3,869.42/x
3. Step 3: Cross multiply
   5,856.14x = 8,085.96 × 3,869.42
4. Step 4: Simplify right side
   5,856.14x = 31,287,975.34
5. Step 5: Solve for x
   x = 31,287,975.34/5,856.14
6. Step 6: Final answer
   x = 5,342.76