Finding the Fourth Proportional to 6,469.38, 8,926.62 and 3,816.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,469.38 : 8,926.62 = 3,816.42 : x
2. Step 2: Convert to fraction form
   6,469.38/8,926.62 = 3,816.42/x
3. Step 3: Cross multiply
   6,469.38x = 8,926.62 × 3,816.42
4. Step 4: Simplify right side
   6,469.38x = 34,067,731.10
5. Step 5: Solve for x
   x = 34,067,731.10/6,469.38
6. Step 6: Final answer
   x = 5,266.00