Finding the Fourth Proportional to 10,262.69, 14,162.51 and 5,546.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,262.69 : 14,162.51 = 5,546.97 : x
2. Step 2: Convert to fraction form
   10,262.69/14,162.51 = 5,546.97/x
3. Step 3: Cross multiply
   10,262.69x = 14,162.51 × 5,546.97
4. Step 4: Simplify right side
   10,262.69x = 78,559,018.09
5. Step 5: Solve for x
   x = 78,559,018.09/10,262.69
6. Step 6: Final answer
   x = 7,654.82