Finding the Fourth Proportional to 10,065.76, 13,889.71 and 5,589.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,065.76 : 13,889.71 = 5,589.02 : x
2. Step 2: Convert to fraction form
   10,065.76/13,889.71 = 5,589.02/x
3. Step 3: Cross multiply
   10,065.76x = 13,889.71 × 5,589.02
4. Step 4: Simplify right side
   10,065.76x = 77,629,866.98
5. Step 5: Solve for x
   x = 77,629,866.98/10,065.76
6. Step 6: Final answer
   x = 7,712.27