Finding the Fourth Proportional to 9,814.44, 13,543.82 and 5,338.12

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.44 : 13,543.82 = 5,338.12 : x
2. Step 2: Convert to fraction form
   9,814.44/13,543.82 = 5,338.12/x
3. Step 3: Cross multiply
   9,814.44x = 13,543.82 × 5,338.12
4. Step 4: Simplify right side
   9,814.44x = 72,298,536.42
5. Step 5: Solve for x
   x = 72,298,536.42/9,814.44
6. Step 6: Final answer
   x = 7,366.55