Finding the Fourth Proportional to 6,849.64, 10,266.16 and 3,146.72

Step by Step Solution

1. Step 1: Write the proportion equation
   6,849.64 : 10,266.16 = 3,146.72 : x
2. Step 2: Convert to fraction form
   6,849.64/10,266.16 = 3,146.72/x
3. Step 3: Cross multiply
   6,849.64x = 10,266.16 × 3,146.72
4. Step 4: Simplify right side
   6,849.64x = 32,304,731.00
5. Step 5: Solve for x
   x = 32,304,731.00/6,849.64
6. Step 6: Final answer
   x = 4,716.27