Finding the Fourth Proportional to 10,377.22, 14,320.69 and 5,661.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.22 : 14,320.69 = 5,661.49 : x
2. Step 2: Convert to fraction form
   10,377.22/14,320.69 = 5,661.49/x
3. Step 3: Cross multiply
   10,377.22x = 14,320.69 × 5,661.49
4. Step 4: Simplify right side
   10,377.22x = 81,076,443.23
5. Step 5: Solve for x
   x = 81,076,443.23/10,377.22
6. Step 6: Final answer
   x = 7,812.93