Finding the Fourth Proportional to 5,322.90, 7,974.62 and 3,858.42

Step by Step Solution

1. Step 1: Write the proportion equation
   5,322.90 : 7,974.62 = 3,858.42 : x
2. Step 2: Convert to fraction form
   5,322.90/7,974.62 = 3,858.42/x
3. Step 3: Cross multiply
   5,322.90x = 7,974.62 × 3,858.42
4. Step 4: Simplify right side
   5,322.90x = 30,769,433.30
5. Step 5: Solve for x
   x = 30,769,433.30/5,322.90
6. Step 6: Final answer
   x = 5,780.58