Finding the Fourth Proportional to 5,742.42, 7,924.94 and 3,857.15

Step by Step Solution

1. Step 1: Write the proportion equation
   5,742.42 : 7,924.94 = 3,857.15 : x
2. Step 2: Convert to fraction form
   5,742.42/7,924.94 = 3,857.15/x
3. Step 3: Cross multiply
   5,742.42x = 7,924.94 × 3,857.15
4. Step 4: Simplify right side
   5,742.42x = 30,567,623.41
5. Step 5: Solve for x
   x = 30,567,623.41/5,742.42
6. Step 6: Final answer
   x = 5,323.13