Finding the Fourth Proportional to 10,315.69, 14,238.89 and 6,589.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,315.69 : 14,238.89 = 6,589.69 : x
2. Step 2: Convert to fraction form
   10,315.69/14,238.89 = 6,589.69/x
3. Step 3: Cross multiply
   10,315.69x = 14,238.89 × 6,589.69
4. Step 4: Simplify right side
   10,315.69x = 93,829,827.21
5. Step 5: Solve for x
   x = 93,829,827.21/10,315.69
6. Step 6: Final answer
   x = 9,095.84