Finding the Fourth Proportional to 9,566.72, 14,341.44 and 5,678.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,566.72 : 14,341.44 = 5,678.72 : x
2. Step 2: Convert to fraction form
   9,566.72/14,341.44 = 5,678.72/x
3. Step 3: Cross multiply
   9,566.72x = 14,341.44 × 5,678.72
4. Step 4: Simplify right side
   9,566.72x = 81,441,022.16
5. Step 5: Solve for x
   x = 81,441,022.16/9,566.72
6. Step 6: Final answer
   x = 8,512.95