Finding the Fourth Proportional to 9,286.55, 12,812.63 and 5,697.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,286.55 : 12,812.63 = 5,697.82 : x
2. Step 2: Convert to fraction form
   9,286.55/12,812.63 = 5,697.82/x
3. Step 3: Cross multiply
   9,286.55x = 12,812.63 × 5,697.82
4. Step 4: Simplify right side
   9,286.55x = 73,003,995.40
5. Step 5: Solve for x
   x = 73,003,995.40/9,286.55
6. Step 6: Final answer
   x = 7,861.27