Finding the Fourth Proportional to 11,096.38, 16,626.83 and 7,770.90

Step by Step Solution

1. Step 1: Write the proportion equation
   11,096.38 : 16,626.83 = 7,770.90 : x
2. Step 2: Convert to fraction form
   11,096.38/16,626.83 = 7,770.90/x
3. Step 3: Cross multiply
   11,096.38x = 16,626.83 × 7,770.90
4. Step 4: Simplify right side
   11,096.38x = 129,205,433.25
5. Step 5: Solve for x
   x = 129,205,433.25/11,096.38
6. Step 6: Final answer
   x = 11,643.93