Finding the Fourth Proportional to 7,849.88, 10,825.78 and 5,158.68

Step by Step Solution

1. Step 1: Write the proportion equation
   7,849.88 : 10,825.78 = 5,158.68 : x
2. Step 2: Convert to fraction form
   7,849.88/10,825.78 = 5,158.68/x
3. Step 3: Cross multiply
   7,849.88x = 10,825.78 × 5,158.68
4. Step 4: Simplify right side
   7,849.88x = 55,846,734.77
5. Step 5: Solve for x
   x = 55,846,734.77/7,849.88
6. Step 6: Final answer
   x = 7,114.34