Finding the Fourth Proportional to 10,029.57, 13,842.72 and 5,783.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,029.57 : 13,842.72 = 5,783.46 : x
2. Step 2: Convert to fraction form
   10,029.57/13,842.72 = 5,783.46/x
3. Step 3: Cross multiply
   10,029.57x = 13,842.72 × 5,783.46
4. Step 4: Simplify right side
   10,029.57x = 80,058,817.41
5. Step 5: Solve for x
   x = 80,058,817.41/10,029.57
6. Step 6: Final answer
   x = 7,982.28