Finding the Fourth Proportional to 9,696.42, 14,543.81 and 3,851.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,696.42 : 14,543.81 = 3,851.46 : x
2. Step 2: Convert to fraction form
   9,696.42/14,543.81 = 3,851.46/x
3. Step 3: Cross multiply
   9,696.42x = 14,543.81 × 3,851.46
4. Step 4: Simplify right side
   9,696.42x = 56,014,902.46
5. Step 5: Solve for x
   x = 56,014,902.46/9,696.42
6. Step 6: Final answer
   x = 5,776.86