Finding the Fourth Proportional to 10,315.86, 14,234.72 and 5,778.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,315.86 : 14,234.72 = 5,778.72 : x
2. Step 2: Convert to fraction form
   10,315.86/14,234.72 = 5,778.72/x
3. Step 3: Cross multiply
   10,315.86x = 14,234.72 × 5,778.72
4. Step 4: Simplify right side
   10,315.86x = 82,258,432.26
5. Step 5: Solve for x
   x = 82,258,432.26/10,315.86
6. Step 6: Final answer
   x = 7,973.98