Finding the Fourth Proportional to 10,065.40, 13,890.69 and 5,589.21

Step by Step Solution

1. Step 1: Write the proportion equation
   10,065.40 : 13,890.69 = 5,589.21 : x
2. Step 2: Convert to fraction form
   10,065.40/13,890.69 = 5,589.21/x
3. Step 3: Cross multiply
   10,065.40x = 13,890.69 × 5,589.21
4. Step 4: Simplify right side
   10,065.40x = 77,637,983.45
5. Step 5: Solve for x
   x = 77,637,983.45/10,065.40
6. Step 6: Final answer
   x = 7,713.35