Finding the Fourth Proportional to 9,549.28, 13,178.06 and 5,300.34

Step by Step Solution

1. Step 1: Write the proportion equation
   9,549.28 : 13,178.06 = 5,300.34 : x
2. Step 2: Convert to fraction form
   9,549.28/13,178.06 = 5,300.34/x
3. Step 3: Cross multiply
   9,549.28x = 13,178.06 × 5,300.34
4. Step 4: Simplify right side
   9,549.28x = 69,848,198.54
5. Step 5: Solve for x
   x = 69,848,198.54/9,549.28
6. Step 6: Final answer
   x = 7,314.50