Finding the Fourth Proportional to 9,814.31, 13,543.87 and 5,338.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.31 : 13,543.87 = 5,338.18 : x
2. Step 2: Convert to fraction form
   9,814.31/13,543.87 = 5,338.18/x
3. Step 3: Cross multiply
   9,814.31x = 13,543.87 × 5,338.18
4. Step 4: Simplify right side
   9,814.31x = 72,299,615.96
5. Step 5: Solve for x
   x = 72,299,615.96/9,814.31
6. Step 6: Final answer
   x = 7,366.75