Finding the Fourth Proportional to 7,656, 10,566.56 and 5,789.76

Step by Step Solution

1. Step 1: Write the proportion equation
   7,656 : 10,566.56 = 5,789.76 : x
2. Step 2: Convert to fraction form
   7,656/10,566.56 = 5,789.76/x
3. Step 3: Cross multiply
   7,656x = 10,566.56 × 5,789.76
4. Step 4: Simplify right side
   7,656x = 61,177,846.43
5. Step 5: Solve for x
   x = 61,177,846.43/7,656
6. Step 6: Final answer
   x = 7,990.84