Finding the Fourth Proportional to 10,017.29, 13,823.44 and 5,540.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,017.29 : 13,823.44 = 5,540.76 : x
2. Step 2: Convert to fraction form
   10,017.29/13,823.44 = 5,540.76/x
3. Step 3: Cross multiply
   10,017.29x = 13,823.44 × 5,540.76
4. Step 4: Simplify right side
   10,017.29x = 76,592,363.41
5. Step 5: Solve for x
   x = 76,592,363.41/10,017.29
6. Step 6: Final answer
   x = 7,646.02