Finding the Fourth Proportional to 9,814.36, 13,543.91 and 5,338.21

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.36 : 13,543.91 = 5,338.21 : x
2. Step 2: Convert to fraction form
   9,814.36/13,543.91 = 5,338.21/x
3. Step 3: Cross multiply
   9,814.36x = 13,543.91 × 5,338.21
4. Step 4: Simplify right side
   9,814.36x = 72,300,235.80
5. Step 5: Solve for x
   x = 72,300,235.80/9,814.36
6. Step 6: Final answer
   x = 7,366.78