Finding the Fourth Proportional to 10,589.89, 14,613.82 and 5,874.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,589.89 : 14,613.82 = 5,874.07 : x
2. Step 2: Convert to fraction form
   10,589.89/14,613.82 = 5,874.07/x
3. Step 3: Cross multiply
   10,589.89x = 14,613.82 × 5,874.07
4. Step 4: Simplify right side
   10,589.89x = 85,842,601.65
5. Step 5: Solve for x
   x = 85,842,601.65/10,589.89
6. Step 6: Final answer
   x = 8,106.09