Finding the Fourth Proportional to 10,253.81, 14,150.52 and 5,777.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,253.81 : 14,150.52 = 5,777.72 : x
2. Step 2: Convert to fraction form
   10,253.81/14,150.52 = 5,777.72/x
3. Step 3: Cross multiply
   10,253.81x = 14,150.52 × 5,777.72
4. Step 4: Simplify right side
   10,253.81x = 81,757,742.41
5. Step 5: Solve for x
   x = 81,757,742.41/10,253.81
6. Step 6: Final answer
   x = 7,973.40