Finding the Fourth Proportional to 10,498.05, 15,744.65 and 6,738.49

Step by Step Solution

1. Step 1: Write the proportion equation
   10,498.05 : 15,744.65 = 6,738.49 : x
2. Step 2: Convert to fraction form
   10,498.05/15,744.65 = 6,738.49/x
3. Step 3: Cross multiply
   10,498.05x = 15,744.65 × 6,738.49
4. Step 4: Simplify right side
   10,498.05x = 106,095,110.37
5. Step 5: Solve for x
   x = 106,095,110.37/10,498.05
6. Step 6: Final answer
   x = 10,106.17