Finding the Fourth Proportional to 10,586.15, 14,607.91 and 5,869.52

Step by Step Solution

1. Step 1: Write the proportion equation
   10,586.15 : 14,607.91 = 5,869.52 : x
2. Step 2: Convert to fraction form
   10,586.15/14,607.91 = 5,869.52/x
3. Step 3: Cross multiply
   10,586.15x = 14,607.91 × 5,869.52
4. Step 4: Simplify right side
   10,586.15x = 85,741,419.90
5. Step 5: Solve for x
   x = 85,741,419.90/10,586.15
6. Step 6: Final answer
   x = 8,099.40