Finding the Fourth Proportional to 10,041.14, 13,856.55 and 5,564.85

Step by Step Solution

1. Step 1: Write the proportion equation
   10,041.14 : 13,856.55 = 5,564.85 : x
2. Step 2: Convert to fraction form
   10,041.14/13,856.55 = 5,564.85/x
3. Step 3: Cross multiply
   10,041.14x = 13,856.55 × 5,564.85
4. Step 4: Simplify right side
   10,041.14x = 77,109,601.54
5. Step 5: Solve for x
   x = 77,109,601.54/10,041.14
6. Step 6: Final answer
   x = 7,679.37