Finding the Fourth Proportional to 10,589.58, 14,613.12 and 5,873.76

Step by Step Solution

1. Step 1: Write the proportion equation
   10,589.58 : 14,613.12 = 5,873.76 : x
2. Step 2: Convert to fraction form
   10,589.58/14,613.12 = 5,873.76/x
3. Step 3: Cross multiply
   10,589.58x = 14,613.12 × 5,873.76
4. Step 4: Simplify right side
   10,589.58x = 85,833,959.73
5. Step 5: Solve for x
   x = 85,833,959.73/10,589.58
6. Step 6: Final answer
   x = 8,105.51