Finding the Fourth Proportional to 10,686, 14,746.68 and 5,970.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,686 : 14,746.68 = 5,970.72 : x
2. Step 2: Convert to fraction form
   10,686/14,746.68 = 5,970.72/x
3. Step 3: Cross multiply
   10,686x = 14,746.68 × 5,970.72
4. Step 4: Simplify right side
   10,686x = 88,048,297.21
5. Step 5: Solve for x
   x = 88,048,297.21/10,686
6. Step 6: Final answer
   x = 8,239.59