Finding the Fourth Proportional to 5,742.15, 7,923.57 and 3,853.35

Step by Step Solution

1. Step 1: Write the proportion equation
   5,742.15 : 7,923.57 = 3,853.35 : x
2. Step 2: Convert to fraction form
   5,742.15/7,923.57 = 3,853.35/x
3. Step 3: Cross multiply
   5,742.15x = 7,923.57 × 3,853.35
4. Step 4: Simplify right side
   5,742.15x = 30,532,288.46
5. Step 5: Solve for x
   x = 30,532,288.46/5,742.15
6. Step 6: Final answer
   x = 5,317.23