Finding the Fourth Proportional to 10,462.96, 14,436.79 and 5,986.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,462.96 : 14,436.79 = 5,986.50 : x
2. Step 2: Convert to fraction form
   10,462.96/14,436.79 = 5,986.50/x
3. Step 3: Cross multiply
   10,462.96x = 14,436.79 × 5,986.50
4. Step 4: Simplify right side
   10,462.96x = 86,425,843.34
5. Step 5: Solve for x
   x = 86,425,843.34/10,462.96
6. Step 6: Final answer
   x = 8,260.17