Finding the Fourth Proportional to 9,678.42, 14,499.32 and 5,717.84

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678.42 : 14,499.32 = 5,717.84 : x
2. Step 2: Convert to fraction form
   9,678.42/14,499.32 = 5,717.84/x
3. Step 3: Cross multiply
   9,678.42x = 14,499.32 × 5,717.84
4. Step 4: Simplify right side
   9,678.42x = 82,904,690.78
5. Step 5: Solve for x
   x = 82,904,690.78/9,678.42
6. Step 6: Final answer
   x = 8,565.93