Finding the Fourth Proportional to 10,590.24, 14,613.62 and 5,809.42

Step by Step Solution

1. Step 1: Write the proportion equation
   10,590.24 : 14,613.62 = 5,809.42 : x
2. Step 2: Convert to fraction form
   10,590.24/14,613.62 = 5,809.42/x
3. Step 3: Cross multiply
   10,590.24x = 14,613.62 × 5,809.42
4. Step 4: Simplify right side
   10,590.24x = 84,896,645.52
5. Step 5: Solve for x
   x = 84,896,645.52/10,590.24
6. Step 6: Final answer
   x = 8,016.50