Finding the Fourth Proportional to 7,838.27, 10,816.78 and 4,253.15

Step by Step Solution

1. Step 1: Write the proportion equation
   7,838.27 : 10,816.78 = 4,253.15 : x
2. Step 2: Convert to fraction form
   7,838.27/10,816.78 = 4,253.15/x
3. Step 3: Cross multiply
   7,838.27x = 10,816.78 × 4,253.15
4. Step 4: Simplify right side
   7,838.27x = 46,005,404.27
5. Step 5: Solve for x
   x = 46,005,404.27/7,838.27
6. Step 6: Final answer
   x = 5,869.33