Finding the Fourth Proportional to 9,814.84, 13,544.78 and 5,338.92

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.84 : 13,544.78 = 5,338.92 : x
2. Step 2: Convert to fraction form
   9,814.84/13,544.78 = 5,338.92/x
3. Step 3: Cross multiply
   9,814.84x = 13,544.78 × 5,338.92
4. Step 4: Simplify right side
   9,814.84x = 72,314,496.84
5. Step 5: Solve for x
   x = 72,314,496.84/9,814.84
6. Step 6: Final answer
   x = 7,367.87