Finding the Fourth Proportional to 10,040.10, 13,854.99 and 5,564.27

Step by Step Solution

1. Step 1: Write the proportion equation
   10,040.10 : 13,854.99 = 5,564.27 : x
2. Step 2: Convert to fraction form
   10,040.10/13,854.99 = 5,564.27/x
3. Step 3: Cross multiply
   10,040.10x = 13,854.99 × 5,564.27
4. Step 4: Simplify right side
   10,040.10x = 77,092,842.75
5. Step 5: Solve for x
   x = 77,092,842.75/10,040.10
6. Step 6: Final answer
   x = 7,678.49