Finding the Fourth Proportional to 10,040.44, 13,856.63 and 5,564.59

Step by Step Solution

1. Step 1: Write the proportion equation
   10,040.44 : 13,856.63 = 5,564.59 : x
2. Step 2: Convert to fraction form
   10,040.44/13,856.63 = 5,564.59/x
3. Step 3: Cross multiply
   10,040.44x = 13,856.63 × 5,564.59
4. Step 4: Simplify right side
   10,040.44x = 77,106,464.73
5. Step 5: Solve for x
   x = 77,106,464.73/10,040.44
6. Step 6: Final answer
   x = 7,679.59