Finding the Fourth Proportional to 9,662.42, 13,336.76 and 5,684.81

Step by Step Solution

1. Step 1: Write the proportion equation
   9,662.42 : 13,336.76 = 5,684.81 : x
2. Step 2: Convert to fraction form
   9,662.42/13,336.76 = 5,684.81/x
3. Step 3: Cross multiply
   9,662.42x = 13,336.76 × 5,684.81
4. Step 4: Simplify right side
   9,662.42x = 75,816,953.17
5. Step 5: Solve for x
   x = 75,816,953.17/9,662.42
6. Step 6: Final answer
   x = 7,846.58