Finding the Fourth Proportional to 10,686.56, 14,747.76 and 5,971.14

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686.56 : 14,747.76 = 5,971.14 : x
2. Step 2: Convert to fraction form
   10,686.56/14,747.76 = 5,971.14/x
3. Step 3: Cross multiply
   10,686.56x = 14,747.76 × 5,971.14
4. Step 4: Simplify right side
   10,686.56x = 88,060,939.65
5. Step 5: Solve for x
   x = 88,060,939.65/10,686.56
6. Step 6: Final answer
   x = 8,240.34