Finding the Fourth Proportional to 10,769.22, 16,151.12 and 7,640.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,769.22 : 16,151.12 = 7,640.10 : x
2. Step 2: Convert to fraction form
   10,769.22/16,151.12 = 7,640.10/x
3. Step 3: Cross multiply
   10,769.22x = 16,151.12 × 7,640.10
4. Step 4: Simplify right side
   10,769.22x = 123,396,171.91
5. Step 5: Solve for x
   x = 123,396,171.91/10,769.22
6. Step 6: Final answer
   x = 11,458.23