Finding the Fourth Proportional to 9,768.42, 14,654.43 and 3,194.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768.42 : 14,654.43 = 3,194.96 : x
2. Step 2: Convert to fraction form
   9,768.42/14,654.43 = 3,194.96/x
3. Step 3: Cross multiply
   9,768.42x = 14,654.43 × 3,194.96
4. Step 4: Simplify right side
   9,768.42x = 46,820,244.40
5. Step 5: Solve for x
   x = 46,820,244.40/9,768.42
6. Step 6: Final answer
   x = 4,793.02