Finding the Fourth Proportional to 9,196.48, 12,682.32 and 6,178.42

Step by Step Solution

1. Step 1: Write the proportion equation
   9,196.48 : 12,682.32 = 6,178.42 : x
2. Step 2: Convert to fraction form
   9,196.48/12,682.32 = 6,178.42/x
3. Step 3: Cross multiply
   9,196.48x = 12,682.32 × 6,178.42
4. Step 4: Simplify right side
   9,196.48x = 78,356,699.53
5. Step 5: Solve for x
   x = 78,356,699.53/9,196.48
6. Step 6: Final answer
   x = 8,520.29