Finding the Fourth Proportional to 10,377.69, 14,320.81 and 5,661.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.69 : 14,320.81 = 5,661.97 : x
2. Step 2: Convert to fraction form
   10,377.69/14,320.81 = 5,661.97/x
3. Step 3: Cross multiply
   10,377.69x = 14,320.81 × 5,661.97
4. Step 4: Simplify right side
   10,377.69x = 81,084,021.57
5. Step 5: Solve for x
   x = 81,084,021.57/10,377.69
6. Step 6: Final answer
   x = 7,813.30