Finding the Fourth Proportional to 10,040.66, 13,855.83 and 5,564.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,040.66 : 13,855.83 = 5,564.30 : x
2. Step 2: Convert to fraction form
   10,040.66/13,855.83 = 5,564.30/x
3. Step 3: Cross multiply
   10,040.66x = 13,855.83 × 5,564.30
4. Step 4: Simplify right side
   10,040.66x = 77,097,994.87
5. Step 5: Solve for x
   x = 77,097,994.87/10,040.66
6. Step 6: Final answer
   x = 7,678.58