Finding the Fourth Proportional to 7,142.10, 9,851.40 and 5,463.78

Step by Step Solution

1. Step 1: Write the proportion equation
   7,142.10 : 9,851.40 = 5,463.78 : x
2. Step 2: Convert to fraction form
   7,142.10/9,851.40 = 5,463.78/x
3. Step 3: Cross multiply
   7,142.10x = 9,851.40 × 5,463.78
4. Step 4: Simplify right side
   7,142.10x = 53,825,882.29
5. Step 5: Solve for x
   x = 53,825,882.29/7,142.10
6. Step 6: Final answer
   x = 7,536.42