Finding the Fourth Proportional to 10,648.42, 15,983.79 and 5,106.46

Step by Step Solution

1. Step 1: Write the proportion equation
   10,648.42 : 15,983.79 = 5,106.46 : x
2. Step 2: Convert to fraction form
   10,648.42/15,983.79 = 5,106.46/x
3. Step 3: Cross multiply
   10,648.42x = 15,983.79 × 5,106.46
4. Step 4: Simplify right side
   10,648.42x = 81,620,584.28
5. Step 5: Solve for x
   x = 81,620,584.28/10,648.42
6. Step 6: Final answer
   x = 7,665.04