Finding the Fourth Proportional to 10,588.92, 14,613.57 and 5,873.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,588.92 : 14,613.57 = 5,873.10 : x
2. Step 2: Convert to fraction form
   10,588.92/14,613.57 = 5,873.10/x
3. Step 3: Cross multiply
   10,588.92x = 14,613.57 × 5,873.10
4. Step 4: Simplify right side
   10,588.92x = 85,826,957.97
5. Step 5: Solve for x
   x = 85,826,957.97/10,588.92
6. Step 6: Final answer
   x = 8,105.36