Finding the Fourth Proportional to 7,106.76, 10,650.42 and 5,158.44

Step by Step Solution

1. Step 1: Write the proportion equation
   7,106.76 : 10,650.42 = 5,158.44 : x
2. Step 2: Convert to fraction form
   7,106.76/10,650.42 = 5,158.44/x
3. Step 3: Cross multiply
   7,106.76x = 10,650.42 × 5,158.44
4. Step 4: Simplify right side
   7,106.76x = 54,939,552.54
5. Step 5: Solve for x
   x = 54,939,552.54/7,106.76
6. Step 6: Final answer
   x = 7,730.60