Finding the Fourth Proportional to 10,586.27, 15,889.67 and 5,659.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,586.27 : 15,889.67 = 5,659.38 : x
2. Step 2: Convert to fraction form
   10,586.27/15,889.67 = 5,659.38/x
3. Step 3: Cross multiply
   10,586.27x = 15,889.67 × 5,659.38
4. Step 4: Simplify right side
   10,586.27x = 89,925,673.53
5. Step 5: Solve for x
   x = 89,925,673.53/10,586.27
6. Step 6: Final answer
   x = 8,494.55