Finding the Fourth Proportional to 10,548.65, 14,556.67 and 5,768.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,548.65 : 14,556.67 = 5,768.48 : x
2. Step 2: Convert to fraction form
   10,548.65/14,556.67 = 5,768.48/x
3. Step 3: Cross multiply
   10,548.65x = 14,556.67 × 5,768.48
4. Step 4: Simplify right side
   10,548.65x = 83,969,881.73
5. Step 5: Solve for x
   x = 83,969,881.73/10,548.65
6. Step 6: Final answer
   x = 7,960.25