Finding the Fourth Proportional to 10,769.60, 16,151.69 and 7,640.48

Step by Step Solution

1. Step 1: Write the proportion equation
   10,769.60 : 16,151.69 = 7,640.48 : x
2. Step 2: Convert to fraction form
   10,769.60/16,151.69 = 7,640.48/x
3. Step 3: Cross multiply
   10,769.60x = 16,151.69 × 7,640.48
4. Step 4: Simplify right side
   10,769.60x = 123,406,602.75
5. Step 5: Solve for x
   x = 123,406,602.75/10,769.60
6. Step 6: Final answer
   x = 11,458.80