Finding the Fourth Proportional to 10,585.58, 14,609.39 and 6,109.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.58 : 14,609.39 = 6,109.34 : x
2. Step 2: Convert to fraction form
   10,585.58/14,609.39 = 6,109.34/x
3. Step 3: Cross multiply
   10,585.58x = 14,609.39 × 6,109.34
4. Step 4: Simplify right side
   10,585.58x = 89,253,627.11
5. Step 5: Solve for x
   x = 89,253,627.11/10,585.58
6. Step 6: Final answer
   x = 8,431.63