Finding the Fourth Proportional to 6,556.80, 9,828.72 and 3,096.48

Step by Step Solution

1. Step 1: Write the proportion equation
   6,556.80 : 9,828.72 = 3,096.48 : x
2. Step 2: Convert to fraction form
   6,556.80/9,828.72 = 3,096.48/x
3. Step 3: Cross multiply
   6,556.80x = 9,828.72 × 3,096.48
4. Step 4: Simplify right side
   6,556.80x = 30,434,434.91
5. Step 5: Solve for x
   x = 30,434,434.91/6,556.80
6. Step 6: Final answer
   x = 4,641.66