Finding the Fourth Proportional to 7,838.27, 10,820.59 and 5,286.67

Step by Step Solution

1. Step 1: Write the proportion equation
   7,838.27 : 10,820.59 = 5,286.67 : x
2. Step 2: Convert to fraction form
   7,838.27/10,820.59 = 5,286.67/x
3. Step 3: Cross multiply
   7,838.27x = 10,820.59 × 5,286.67
4. Step 4: Simplify right side
   7,838.27x = 57,204,848.27
5. Step 5: Solve for x
   x = 57,204,848.27/7,838.27
6. Step 6: Final answer
   x = 7,298.15