Finding the Fourth Proportional to 9,814.33, 13,543.95 and 5,338.18

Step by Step Solution

1. Step 1: Write the proportion equation
   9,814.33 : 13,543.95 = 5,338.18 : x
2. Step 2: Convert to fraction form
   9,814.33/13,543.95 = 5,338.18/x
3. Step 3: Cross multiply
   9,814.33x = 13,543.95 × 5,338.18
4. Step 4: Simplify right side
   9,814.33x = 72,300,043.01
5. Step 5: Solve for x
   x = 72,300,043.01/9,814.33
6. Step 6: Final answer
   x = 7,366.78