Finding the Fourth Proportional to 9,777.27, 14,685.57 and 5,836.24

Step by Step Solution

1. Step 1: Write the proportion equation
   9,777.27 : 14,685.57 = 5,836.24 : x
2. Step 2: Convert to fraction form
   9,777.27/14,685.57 = 5,836.24/x
3. Step 3: Cross multiply
   9,777.27x = 14,685.57 × 5,836.24
4. Step 4: Simplify right side
   9,777.27x = 85,708,474.34
5. Step 5: Solve for x
   x = 85,708,474.34/9,777.27
6. Step 6: Final answer
   x = 8,766.09