Finding the Fourth Proportional to 6,314.96, 8,713.17 and 3,796.67

Step by Step Solution

1. Step 1: Write the proportion equation
   6,314.96 : 8,713.17 = 3,796.67 : x
2. Step 2: Convert to fraction form
   6,314.96/8,713.17 = 3,796.67/x
3. Step 3: Cross multiply
   6,314.96x = 8,713.17 × 3,796.67
4. Step 4: Simplify right side
   6,314.96x = 33,081,052.93
5. Step 5: Solve for x
   x = 33,081,052.93/6,314.96
6. Step 6: Final answer
   x = 5,238.52