Finding the Fourth Proportional to 10,686.78, 14,747.70 and 5,971.02

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686.78 : 14,747.70 = 5,971.02 : x
2. Step 2: Convert to fraction form
   10,686.78/14,747.70 = 5,971.02/x
3. Step 3: Cross multiply
   10,686.78x = 14,747.70 × 5,971.02
4. Step 4: Simplify right side
   10,686.78x = 88,058,811.65
5. Step 5: Solve for x
   x = 88,058,811.65/10,686.78
6. Step 6: Final answer
   x = 8,239.98