Finding the Fourth Proportional to 5,158.82, 7,695.27 and 4,660.54

Step by Step Solution

1. Step 1: Write the proportion equation
   5,158.82 : 7,695.27 = 4,660.54 : x
2. Step 2: Convert to fraction form
   5,158.82/7,695.27 = 4,660.54/x
3. Step 3: Cross multiply
   5,158.82x = 7,695.27 × 4,660.54
4. Step 4: Simplify right side
   5,158.82x = 35,864,094.41
5. Step 5: Solve for x
   x = 35,864,094.41/5,158.82
6. Step 6: Final answer
   x = 6,951.99