Finding the Fourth Proportional to 10,040.48, 13,855.90 and 5,564.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,040.48 : 13,855.90 = 5,564.31 : x
2. Step 2: Convert to fraction form
   10,040.48/13,855.90 = 5,564.31/x
3. Step 3: Cross multiply
   10,040.48x = 13,855.90 × 5,564.31
4. Step 4: Simplify right side
   10,040.48x = 77,098,425.83
5. Step 5: Solve for x
   x = 77,098,425.83/10,040.48
6. Step 6: Final answer
   x = 7,678.76