Finding the Fourth Proportional to 10,589.64, 14,613.48 and 5,873.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,589.64 : 14,613.48 = 5,873.82 : x
2. Step 2: Convert to fraction form
   10,589.64/14,613.48 = 5,873.82/x
3. Step 3: Cross multiply
   10,589.64x = 14,613.48 × 5,873.82
4. Step 4: Simplify right side
   10,589.64x = 85,836,951.09
5. Step 5: Solve for x
   x = 85,836,951.09/10,589.64
6. Step 6: Final answer
   x = 8,105.75