Finding the Fourth Proportional to 10,262.32, 14,162 and 5,546.60

Step by Step Solution

1. Step 1: Write the proportion equation
   10,262.32 : 14,162 = 5,546.60 : x
2. Step 2: Convert to fraction form
   10,262.32/14,162 = 5,546.60/x
3. Step 3: Cross multiply
   10,262.32x = 14,162 × 5,546.60
4. Step 4: Simplify right side
   10,262.32x = 78,550,949.20
5. Step 5: Solve for x
   x = 78,550,949.20/10,262.32
6. Step 6: Final answer
   x = 7,654.31