Finding the Fourth Proportional to 5,242.54, 7,844.96 and 3,852.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,242.54 : 7,844.96 = 3,852.42 : x
2. Step 2: Convert to fraction form
   5,242.54/7,844.96 = 3,852.42/x
3. Step 3: Cross multiply
   5,242.54x = 7,844.96 × 3,852.42
4. Step 4: Simplify right side
   5,242.54x = 30,222,061.54
5. Step 5: Solve for x
   x = 30,222,061.54/5,242.54
6. Step 6: Final answer
   x = 5,764.78