Finding the Fourth Proportional to 10,586.86, 14,609.82 and 5,871.13

Step by Step Solution

1. Step 1: Write the proportion equation
   10,586.86 : 14,609.82 = 5,871.13 : x
2. Step 2: Convert to fraction form
   10,586.86/14,609.82 = 5,871.13/x
3. Step 3: Cross multiply
   10,586.86x = 14,609.82 × 5,871.13
4. Step 4: Simplify right side
   10,586.86x = 85,776,152.50
5. Step 5: Solve for x
   x = 85,776,152.50/10,586.86
6. Step 6: Final answer
   x = 8,102.13