Finding the Fourth Proportional to 10,377.22, 14,320.61 and 5,661.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.22 : 14,320.61 = 5,661.60 : x
2. Step 2: Convert to fraction form
   10,377.22/14,320.61 = 5,661.60/x
3. Step 3: Cross multiply
   10,377.22x = 14,320.61 × 5,661.60
4. Step 4: Simplify right side
   10,377.22x = 81,077,537.27
5. Step 5: Solve for x
   x = 81,077,537.27/10,377.22
6. Step 6: Final answer
   x = 7,813.03