Finding the Fourth Proportional to 9,816.40, 13,546.50 and 5,340.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,816.40 : 13,546.50 = 5,340.10 : x
2. Step 2: Convert to fraction form
   9,816.40/13,546.50 = 5,340.10/x
3. Step 3: Cross multiply
   9,816.40x = 13,546.50 × 5,340.10
4. Step 4: Simplify right side
   9,816.40x = 72,339,664.65
5. Step 5: Solve for x
   x = 72,339,664.65/9,816.40
6. Step 6: Final answer
   x = 7,369.27