Finding the Fourth Proportional to 10,040.32, 13,855.75 and 5,564.16

Step by Step Solution

1. Step 1: Write the proportion equation
   10,040.32 : 13,855.75 = 5,564.16 : x
2. Step 2: Convert to fraction form
   10,040.32/13,855.75 = 5,564.16/x
3. Step 3: Cross multiply
   10,040.32x = 13,855.75 × 5,564.16
4. Step 4: Simplify right side
   10,040.32x = 77,095,609.92
5. Step 5: Solve for x
   x = 77,095,609.92/10,040.32
6. Step 6: Final answer
   x = 7,678.60