Finding the Fourth Proportional to 9,796.65, 14,689.06 and 3,946.43

Step by Step Solution

1. Step 1: Write the proportion equation
   9,796.65 : 14,689.06 = 3,946.43 : x
2. Step 2: Convert to fraction form
   9,796.65/14,689.06 = 3,946.43/x
3. Step 3: Cross multiply
   9,796.65x = 14,689.06 × 3,946.43
4. Step 4: Simplify right side
   9,796.65x = 57,969,253.88
5. Step 5: Solve for x
   x = 57,969,253.88/9,796.65
6. Step 6: Final answer
   x = 5,917.25