Finding the Fourth Proportional to 10,041.16, 13,856.52 and 5,564.80

Step by Step Solution

1. Step 1: Write the proportion equation
   10,041.16 : 13,856.52 = 5,564.80 : x
2. Step 2: Convert to fraction form
   10,041.16/13,856.52 = 5,564.80/x
3. Step 3: Cross multiply
   10,041.16x = 13,856.52 × 5,564.80
4. Step 4: Simplify right side
   10,041.16x = 77,108,762.50
5. Step 5: Solve for x
   x = 77,108,762.50/10,041.16
6. Step 6: Final answer
   x = 7,679.27