Finding the Fourth Proportional to 9,814.81, 13,544.58 and 5,338.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.81 : 13,544.58 = 5,338.56 : x
2. Step 2: Convert to fraction form
   9,814.81/13,544.58 = 5,338.56/x
3. Step 3: Cross multiply
   9,814.81x = 13,544.58 × 5,338.56
4. Step 4: Simplify right side
   9,814.81x = 72,308,553.00
5. Step 5: Solve for x
   x = 72,308,553.00/9,814.81
6. Step 6: Final answer
   x = 7,367.29