Finding the Fourth Proportional to 10,253.20, 14,150.76 and 5,777.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,253.20 : 14,150.76 = 5,777.82 : x
2. Step 2: Convert to fraction form
   10,253.20/14,150.76 = 5,777.82/x
3. Step 3: Cross multiply
   10,253.20x = 14,150.76 × 5,777.82
4. Step 4: Simplify right side
   10,253.20x = 81,760,544.14
5. Step 5: Solve for x
   x = 81,760,544.14/10,253.20
6. Step 6: Final answer
   x = 7,974.15