Finding the Fourth Proportional to 10,261.86, 14,161.32 and 5,546.10

Step by Step Solution

1. Step 1: Write the proportion equation
   10,261.86 : 14,161.32 = 5,546.10 : x
2. Step 2: Convert to fraction form
   10,261.86/14,161.32 = 5,546.10/x
3. Step 3: Cross multiply
   10,261.86x = 14,161.32 × 5,546.10
4. Step 4: Simplify right side
   10,261.86x = 78,540,096.85
5. Step 5: Solve for x
   x = 78,540,096.85/10,261.86
6. Step 6: Final answer
   x = 7,653.59