Finding the Fourth Proportional to 10,377.58, 14,321 and 5,661.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377.58 : 14,321 = 5,661.86 : x
2. Step 2: Convert to fraction form
   10,377.58/14,321 = 5,661.86/x
3. Step 3: Cross multiply
   10,377.58x = 14,321 × 5,661.86
4. Step 4: Simplify right side
   10,377.58x = 81,083,497.06
5. Step 5: Solve for x
   x = 81,083,497.06/10,377.58
6. Step 6: Final answer
   x = 7,813.33