Finding the Fourth Proportional to 10,648.92, 15,978.84 and 5,974.20

Step by Step Solution

1. Step 1: Write the proportion equation
   10,648.92 : 15,978.84 = 5,974.20 : x
2. Step 2: Convert to fraction form
   10,648.92/15,978.84 = 5,974.20/x
3. Step 3: Cross multiply
   10,648.92x = 15,978.84 × 5,974.20
4. Step 4: Simplify right side
   10,648.92x = 95,460,785.93
5. Step 5: Solve for x
   x = 95,460,785.93/10,648.92
6. Step 6: Final answer
   x = 8,964.36