Finding the Fourth Proportional to 8,693.82, 12,002.67 and 5,714.64

Step by Step Solution

1. Step 1: Write the proportion equation
   8,693.82 : 12,002.67 = 5,714.64 : x
2. Step 2: Convert to fraction form
   8,693.82/12,002.67 = 5,714.64/x
3. Step 3: Cross multiply
   8,693.82x = 12,002.67 × 5,714.64
4. Step 4: Simplify right side
   8,693.82x = 68,590,938.09
5. Step 5: Solve for x
   x = 68,590,938.09/8,693.82
6. Step 6: Final answer
   x = 7,889.62