Finding the Fourth Proportional to 10,065.98, 13,891.10 and 5,589.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,065.98 : 13,891.10 = 5,589.75 : x
2. Step 2: Convert to fraction form
   10,065.98/13,891.10 = 5,589.75/x
3. Step 3: Cross multiply
   10,065.98x = 13,891.10 × 5,589.75
4. Step 4: Simplify right side
   10,065.98x = 77,647,702.70
5. Step 5: Solve for x
   x = 77,647,702.70/10,065.98
6. Step 6: Final answer
   x = 7,713.87