Finding the Fourth Proportional to 9,814.35, 13,543.71 and 5,338.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.35 : 13,543.71 = 5,338.14 : x
2. Step 2: Convert to fraction form
   9,814.35/13,543.71 = 5,338.14/x
3. Step 3: Cross multiply
   9,814.35x = 13,543.71 × 5,338.14
4. Step 4: Simplify right side
   9,814.35x = 72,298,220.10
5. Step 5: Solve for x
   x = 72,298,220.10/9,814.35
6. Step 6: Final answer
   x = 7,366.58