Finding the Fourth Proportional to 10,589.32, 14,613.24 and 5,744.08

Step by Step Solution

1. Step 1: Write the proportion equation
   10,589.32 : 14,613.24 = 5,744.08 : x
2. Step 2: Convert to fraction form
   10,589.32/14,613.24 = 5,744.08/x
3. Step 3: Cross multiply
   10,589.32x = 14,613.24 × 5,744.08
4. Step 4: Simplify right side
   10,589.32x = 83,939,619.62
5. Step 5: Solve for x
   x = 83,939,619.62/10,589.32
6. Step 6: Final answer
   x = 7,926.82