Finding the Fourth Proportional to 9,816.35, 13,546.47 and 5,340.14

Step by Step Solution

1. Step 1: Write the proportion equation
   9,816.35 : 13,546.47 = 5,340.14 : x
2. Step 2: Convert to fraction form
   9,816.35/13,546.47 = 5,340.14/x
3. Step 3: Cross multiply
   9,816.35x = 13,546.47 × 5,340.14
4. Step 4: Simplify right side
   9,816.35x = 72,340,046.31
5. Step 5: Solve for x
   x = 72,340,046.31/9,816.35
6. Step 6: Final answer
   x = 7,369.34