Finding the Fourth Proportional to 10,253.28, 14,148.47 and 5,777.73

Step by Step Solution

1. Step 1: Write the proportion equation
   10,253.28 : 14,148.47 = 5,777.73 : x
2. Step 2: Convert to fraction form
   10,253.28/14,148.47 = 5,777.73/x
3. Step 3: Cross multiply
   10,253.28x = 14,148.47 × 5,777.73
4. Step 4: Simplify right side
   10,253.28x = 81,746,054.02
5. Step 5: Solve for x
   x = 81,746,054.02/10,253.28
6. Step 6: Final answer
   x = 7,972.67