Finding the Fourth Proportional to 9,814.80, 13,544.64 and 5,338.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.80 : 13,544.64 = 5,338.56 : x
2. Step 2: Convert to fraction form
   9,814.80/13,544.64 = 5,338.56/x
3. Step 3: Cross multiply
   9,814.80x = 13,544.64 × 5,338.56
4. Step 4: Simplify right side
   9,814.80x = 72,308,873.32
5. Step 5: Solve for x
   x = 72,308,873.32/9,814.80
6. Step 6: Final answer
   x = 7,367.33