Finding the Fourth Proportional to 10,586.88, 14,610.12 and 5,871

Step by Step Solution

1. Step 1: Write the proportion equation
   10,586.88 : 14,610.12 = 5,871 : x
2. Step 2: Convert to fraction form
   10,586.88/14,610.12 = 5,871/x
3. Step 3: Cross multiply
   10,586.88x = 14,610.12 × 5,871
4. Step 4: Simplify right side
   10,586.88x = 85,776,014.52
5. Step 5: Solve for x
   x = 85,776,014.52/10,586.88
6. Step 6: Final answer
   x = 8,102.11