Finding the Fourth Proportional to 7,829.42, 10,805.10 and 5,172.18

Step by Step Solution

1. Step 1: Write the proportion equation
   7,829.42 : 10,805.10 = 5,172.18 : x
2. Step 2: Convert to fraction form
   7,829.42/10,805.10 = 5,172.18/x
3. Step 3: Cross multiply
   7,829.42x = 10,805.10 × 5,172.18
4. Step 4: Simplify right side
   7,829.42x = 55,885,922.12
5. Step 5: Solve for x
   x = 55,885,922.12/7,829.42
6. Step 6: Final answer
   x = 7,137.94