Finding the Fourth Proportional to 9,770.42, 14,657.43 and 3,196.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,770.42 : 14,657.43 = 3,196.96 : x
2. Step 2: Convert to fraction form
   9,770.42/14,657.43 = 3,196.96/x
3. Step 3: Cross multiply
   9,770.42x = 14,657.43 × 3,196.96
4. Step 4: Simplify right side
   9,770.42x = 46,859,217.41
5. Step 5: Solve for x
   x = 46,859,217.41/9,770.42
6. Step 6: Final answer
   x = 4,796.03