Finding the Fourth Proportional to 10,304.56, 14,219.34 and 5,828.70

Step by Step Solution

1. Step 1: Write the proportion equation
   10,304.56 : 14,219.34 = 5,828.70 : x
2. Step 2: Convert to fraction form
   10,304.56/14,219.34 = 5,828.70/x
3. Step 3: Cross multiply
   10,304.56x = 14,219.34 × 5,828.70
4. Step 4: Simplify right side
   10,304.56x = 82,880,267.06
5. Step 5: Solve for x
   x = 82,880,267.06/10,304.56
6. Step 6: Final answer
   x = 8,043.07