Finding the Fourth Proportional to 9,694.42, 14,540.82 and 3,849.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,694.42 : 14,540.82 = 3,849.46 : x
2. Step 2: Convert to fraction form
   9,694.42/14,540.82 = 3,849.46/x
3. Step 3: Cross multiply
   9,694.42x = 14,540.82 × 3,849.46
4. Step 4: Simplify right side
   9,694.42x = 55,974,254.17
5. Step 5: Solve for x
   x = 55,974,254.17/9,694.42
6. Step 6: Final answer
   x = 5,773.86