Finding the Fourth Proportional to 7,746.64, 10,673.78 and 7,109.67

Step by Step Solution

1. Step 1: Write the proportion equation
   7,746.64 : 10,673.78 = 7,109.67 : x
2. Step 2: Convert to fraction form
   7,746.64/10,673.78 = 7,109.67/x
3. Step 3: Cross multiply
   7,746.64x = 10,673.78 × 7,109.67
4. Step 4: Simplify right side
   7,746.64x = 75,887,057.93
5. Step 5: Solve for x
   x = 75,887,057.93/7,746.64
6. Step 6: Final answer
   x = 9,796.13