Finding the Fourth Proportional to 7,706.91, 10,636.62 and 5,714.31

Step by Step Solution

1. Step 1: Write the proportion equation
   7,706.91 : 10,636.62 = 5,714.31 : x
2. Step 2: Convert to fraction form
   7,706.91/10,636.62 = 5,714.31/x
3. Step 3: Cross multiply
   7,706.91x = 10,636.62 × 5,714.31
4. Step 4: Simplify right side
   7,706.91x = 60,780,944.03
5. Step 5: Solve for x
   x = 60,780,944.03/7,706.91
6. Step 6: Final answer
   x = 7,886.55