Finding the Fourth Proportional to 10,590.05, 14,614.16 and 5,809.89

Step by Step Solution

1. Step 1: Write the proportion equation
   10,590.05 : 14,614.16 = 5,809.89 : x
2. Step 2: Convert to fraction form
   10,590.05/14,614.16 = 5,809.89/x
3. Step 3: Cross multiply
   10,590.05x = 14,614.16 × 5,809.89
4. Step 4: Simplify right side
   10,590.05x = 84,906,632.99
5. Step 5: Solve for x
   x = 84,906,632.99/10,590.05
6. Step 6: Final answer
   x = 8,017.59