Finding the Fourth Proportional to 10,264.29, 15,382.50 and 5,819.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,264.29 : 15,382.50 = 5,819.86 : x
2. Step 2: Convert to fraction form
   10,264.29/15,382.50 = 5,819.86/x
3. Step 3: Cross multiply
   10,264.29x = 15,382.50 × 5,819.86
4. Step 4: Simplify right side
   10,264.29x = 89,523,919.54
5. Step 5: Solve for x
   x = 89,523,919.54/10,264.29
6. Step 6: Final answer
   x = 8,721.88