Finding the Fourth Proportional to 10,040.43, 13,855.91 and 5,564.26

Step by Step Solution

1. Step 1: Write the proportion equation
   10,040.43 : 13,855.91 = 5,564.26 : x
2. Step 2: Convert to fraction form
   10,040.43/13,855.91 = 5,564.26/x
3. Step 3: Cross multiply
   10,040.43x = 13,855.91 × 5,564.26
4. Step 4: Simplify right side
   10,040.43x = 77,097,885.78
5. Step 5: Solve for x
   x = 77,097,885.78/10,040.43
6. Step 6: Final answer
   x = 7,678.74