Finding the Fourth Proportional to 10,027.82, 15,055.53 and 5,100.79

Step by Step Solution

1. Step 1: Write the proportion equation
   10,027.82 : 15,055.53 = 5,100.79 : x
2. Step 2: Convert to fraction form
   10,027.82/15,055.53 = 5,100.79/x
3. Step 3: Cross multiply
   10,027.82x = 15,055.53 × 5,100.79
4. Step 4: Simplify right side
   10,027.82x = 76,795,096.87
5. Step 5: Solve for x
   x = 76,795,096.87/10,027.82
6. Step 6: Final answer
   x = 7,658.21