Finding the Fourth Proportional to 10,846.96, 14,930.28 and 7,697.68

Step by Step Solution

1. Step 1: Write the proportion equation
   10,846.96 : 14,930.28 = 7,697.68 : x
2. Step 2: Convert to fraction form
   10,846.96/14,930.28 = 7,697.68/x
3. Step 3: Cross multiply
   10,846.96x = 14,930.28 × 7,697.68
4. Step 4: Simplify right side
   10,846.96x = 114,928,517.75
5. Step 5: Solve for x
   x = 114,928,517.75/10,846.96
6. Step 6: Final answer
   x = 10,595.46