Finding the Fourth Proportional to 10,262.37, 14,162.07 and 5,546.66

Step by Step Solution

1. Step 1: Write the proportion equation
   10,262.37 : 14,162.07 = 5,546.66 : x
2. Step 2: Convert to fraction form
   10,262.37/14,162.07 = 5,546.66/x
3. Step 3: Cross multiply
   10,262.37x = 14,162.07 × 5,546.66
4. Step 4: Simplify right side
   10,262.37x = 78,552,116.38
5. Step 5: Solve for x
   x = 78,552,116.38/10,262.37
6. Step 6: Final answer
   x = 7,654.38