Finding the Fourth Proportional to 7,877.89, 10,872.69 and 5,986.39

Step by Step Solution

1. Step 1: Write the proportion equation
   7,877.89 : 10,872.69 = 5,986.39 : x
2. Step 2: Convert to fraction form
   7,877.89/10,872.69 = 5,986.39/x
3. Step 3: Cross multiply
   7,877.89x = 10,872.69 × 5,986.39
4. Step 4: Simplify right side
   7,877.89x = 65,088,162.69
5. Step 5: Solve for x
   x = 65,088,162.69/7,877.89
6. Step 6: Final answer
   x = 8,262.13