Finding the Fourth Proportional to 10,265.86, 14,166.84 and 5,789.65

Step by Step Solution

1. Step 1: Write the proportion equation
   10,265.86 : 14,166.84 = 5,789.65 : x
2. Step 2: Convert to fraction form
   10,265.86/14,166.84 = 5,789.65/x
3. Step 3: Cross multiply
   10,265.86x = 14,166.84 × 5,789.65
4. Step 4: Simplify right side
   10,265.86x = 82,021,045.21
5. Step 5: Solve for x
   x = 82,021,045.21/10,265.86
6. Step 6: Final answer
   x = 7,989.69