Finding the Fourth Proportional to 6,811.50, 9,398.84 and 3,826.76

Step by Step Solution

1. Step 1: Write the proportion equation
   6,811.50 : 9,398.84 = 3,826.76 : x
2. Step 2: Convert to fraction form
   6,811.50/9,398.84 = 3,826.76/x
3. Step 3: Cross multiply
   6,811.50x = 9,398.84 × 3,826.76
4. Step 4: Simplify right side
   6,811.50x = 35,967,091.03
5. Step 5: Solve for x
   x = 35,967,091.03/6,811.50
6. Step 6: Final answer
   x = 5,280.35