Finding the Fourth Proportional to 10,302.06, 14,215.90 and 5,826.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,302.06 : 14,215.90 = 5,826.20 : x
2. Step 2: Convert to fraction form
   10,302.06/14,215.90 = 5,826.20/x
3. Step 3: Cross multiply
   10,302.06x = 14,215.90 × 5,826.20
4. Step 4: Simplify right side
   10,302.06x = 82,824,676.58
5. Step 5: Solve for x
   x = 82,824,676.58/10,302.06
6. Step 6: Final answer
   x = 8,039.62