Finding the Fourth Proportional to 10,262.30, 14,161.94 and 5,546.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,262.30 : 14,161.94 = 5,546.57 : x
2. Step 2: Convert to fraction form
   10,262.30/14,161.94 = 5,546.57/x
3. Step 3: Cross multiply
   10,262.30x = 14,161.94 × 5,546.57
4. Step 4: Simplify right side
   10,262.30x = 78,550,120.74
5. Step 5: Solve for x
   x = 78,550,120.74/10,262.30
6. Step 6: Final answer
   x = 7,654.25