Finding the Fourth Proportional to 9,816.42, 13,546.26 and 5,340.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,816.42 : 13,546.26 = 5,340.09 : x
2. Step 2: Convert to fraction form
   9,816.42/13,546.26 = 5,340.09/x
3. Step 3: Cross multiply
   9,816.42x = 13,546.26 × 5,340.09
4. Step 4: Simplify right side
   9,816.42x = 72,338,247.56
5. Step 5: Solve for x
   x = 72,338,247.56/9,816.42
6. Step 6: Final answer
   x = 7,369.11