Finding the Fourth Proportional to 10,040.27, 13,855.82 and 5,564.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,040.27 : 13,855.82 = 5,564.07 : x
2. Step 2: Convert to fraction form
   10,040.27/13,855.82 = 5,564.07/x
3. Step 3: Cross multiply
   10,040.27x = 13,855.82 × 5,564.07
4. Step 4: Simplify right side
   10,040.27x = 77,094,724.57
5. Step 5: Solve for x
   x = 77,094,724.57/10,040.27
6. Step 6: Final answer
   x = 7,678.55