Finding the Fourth Proportional to 10,548.77, 14,556.98 and 5,768.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,548.77 : 14,556.98 = 5,768.69 : x
2. Step 2: Convert to fraction form
   10,548.77/14,556.98 = 5,768.69/x
3. Step 3: Cross multiply
   10,548.77x = 14,556.98 × 5,768.69
4. Step 4: Simplify right side
   10,548.77x = 83,974,646.59
5. Step 5: Solve for x
   x = 83,974,646.59/10,548.77
6. Step 6: Final answer
   x = 7,960.61