Finding the Fourth Proportional to 10,040.68, 13,855.97 and 5,564.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,040.68 : 13,855.97 = 5,564.42 : x
2. Step 2: Convert to fraction form
   10,040.68/13,855.97 = 5,564.42/x
3. Step 3: Cross multiply
   10,040.68x = 13,855.97 × 5,564.42
4. Step 4: Simplify right side
   10,040.68x = 77,100,381.22
5. Step 5: Solve for x
   x = 77,100,381.22/10,040.68
6. Step 6: Final answer
   x = 7,678.80