Finding the Fourth Proportional to 10,548.60, 14,557 and 5,768.64

Step by Step Solution

1. Step 1: Write the proportion equation
   10,548.60 : 14,557 = 5,768.64 : x
2. Step 2: Convert to fraction form
   10,548.60/14,557 = 5,768.64/x
3. Step 3: Cross multiply
   10,548.60x = 14,557 × 5,768.64
4. Step 4: Simplify right side
   10,548.60x = 83,974,092.48
5. Step 5: Solve for x
   x = 83,974,092.48/10,548.60
6. Step 6: Final answer
   x = 7,960.69