Finding the Fourth Proportional to 9,772.14, 14,655.10 and 3,196.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,772.14 : 14,655.10 = 3,196.56 : x
2. Step 2: Convert to fraction form
   9,772.14/14,655.10 = 3,196.56/x
3. Step 3: Cross multiply
   9,772.14x = 14,655.10 × 3,196.56
4. Step 4: Simplify right side
   9,772.14x = 46,845,906.46
5. Step 5: Solve for x
   x = 46,845,906.46/9,772.14
6. Step 6: Final answer
   x = 4,793.82