Finding the Fourth Proportional to 6,726.12, 10,096.44 and 5,100.42

Step by Step Solution

1. Step 1: Write the proportion equation
   6,726.12 : 10,096.44 = 5,100.42 : x
2. Step 2: Convert to fraction form
   6,726.12/10,096.44 = 5,100.42/x
3. Step 3: Cross multiply
   6,726.12x = 10,096.44 × 5,100.42
4. Step 4: Simplify right side
   6,726.12x = 51,496,084.50
5. Step 5: Solve for x
   x = 51,496,084.50/6,726.12
6. Step 6: Final answer
   x = 7,656.14