Finding the Fourth Proportional to 10,041, 13,856.69 and 5,564.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,041 : 13,856.69 = 5,564.82 : x
2. Step 2: Convert to fraction form
   10,041/13,856.69 = 5,564.82/x
3. Step 3: Cross multiply
   10,041x = 13,856.69 × 5,564.82
4. Step 4: Simplify right side
   10,041x = 77,109,985.65
5. Step 5: Solve for x
   x = 77,109,985.65/10,041
6. Step 6: Final answer
   x = 7,679.51