Finding the Fourth Proportional to 10,040.33, 13,855.73 and 5,564.15

Step by Step Solution

1. Step 1: Write the proportion equation
   10,040.33 : 13,855.73 = 5,564.15 : x
2. Step 2: Convert to fraction form
   10,040.33/13,855.73 = 5,564.15/x
3. Step 3: Cross multiply
   10,040.33x = 13,855.73 × 5,564.15
4. Step 4: Simplify right side
   10,040.33x = 77,095,360.08
5. Step 5: Solve for x
   x = 77,095,360.08/10,040.33
6. Step 6: Final answer
   x = 7,678.57