Finding the Fourth Proportional to 7,871.23, 10,851.42 and 5,629.20

Step by Step Solution

1. Step 1: Write the proportion equation
   7,871.23 : 10,851.42 = 5,629.20 : x
2. Step 2: Convert to fraction form
   7,871.23/10,851.42 = 5,629.20/x
3. Step 3: Cross multiply
   7,871.23x = 10,851.42 × 5,629.20
4. Step 4: Simplify right side
   7,871.23x = 61,084,762.22
5. Step 5: Solve for x
   x = 61,084,762.22/7,871.23
6. Step 6: Final answer
   x = 7,760.51