Finding the Fourth Proportional to 10,306.50, 14,221.35 and 5,828.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,306.50 : 14,221.35 = 5,828.82 : x
2. Step 2: Convert to fraction form
   10,306.50/14,221.35 = 5,828.82/x
3. Step 3: Cross multiply
   10,306.50x = 14,221.35 × 5,828.82
4. Step 4: Simplify right side
   10,306.50x = 82,893,689.31
5. Step 5: Solve for x
   x = 82,893,689.31/10,306.50
6. Step 6: Final answer
   x = 8,042.86