Finding the Fourth Proportional to 7,142.45, 10,716.76 and 3,854.89

Step by Step Solution

1. Step 1: Write the proportion equation
   7,142.45 : 10,716.76 = 3,854.89 : x
2. Step 2: Convert to fraction form
   7,142.45/10,716.76 = 3,854.89/x
3. Step 3: Cross multiply
   7,142.45x = 10,716.76 × 3,854.89
4. Step 4: Simplify right side
   7,142.45x = 41,311,927.49
5. Step 5: Solve for x
   x = 41,311,927.49/7,142.45
6. Step 6: Final answer
   x = 5,784.00