Finding the Fourth Proportional to 10,548.16, 14,556 and 5,768.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,548.16 : 14,556 = 5,768.02 : x
2. Step 2: Convert to fraction form
   10,548.16/14,556 = 5,768.02/x
3. Step 3: Cross multiply
   10,548.16x = 14,556 × 5,768.02
4. Step 4: Simplify right side
   10,548.16x = 83,959,299.12
5. Step 5: Solve for x
   x = 83,959,299.12/10,548.16
6. Step 6: Final answer
   x = 7,959.62