Finding the Fourth Proportional to 5,742.54, 7,928.01 and 3,856.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,742.54 : 7,928.01 = 3,856.86 : x
2. Step 2: Convert to fraction form
   5,742.54/7,928.01 = 3,856.86/x
3. Step 3: Cross multiply
   5,742.54x = 7,928.01 × 3,856.86
4. Step 4: Simplify right side
   5,742.54x = 30,577,224.65
5. Step 5: Solve for x
   x = 30,577,224.65/5,742.54
6. Step 6: Final answer
   x = 5,324.69