Finding the Fourth Proportional to 10,040.57, 13,856.10 and 5,564.41

Step by Step Solution

1. Step 1: Write the proportion equation
   10,040.57 : 13,856.10 = 5,564.41 : x
2. Step 2: Convert to fraction form
   10,040.57/13,856.10 = 5,564.41/x
3. Step 3: Cross multiply
   10,040.57x = 13,856.10 × 5,564.41
4. Step 4: Simplify right side
   10,040.57x = 77,100,965.89
5. Step 5: Solve for x
   x = 77,100,965.89/10,040.57
6. Step 6: Final answer
   x = 7,678.94