Finding the Fourth Proportional to 10,377.38, 14,320.82 and 5,661.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.38 : 14,320.82 = 5,661.76 : x
2. Step 2: Convert to fraction form
   10,377.38/14,320.82 = 5,661.76/x
3. Step 3: Cross multiply
   10,377.38x = 14,320.82 × 5,661.76
4. Step 4: Simplify right side
   10,377.38x = 81,081,045.84
5. Step 5: Solve for x
   x = 81,081,045.84/10,377.38
6. Step 6: Final answer
   x = 7,813.25