Finding the Fourth Proportional to 10,254.30, 14,150.64 and 5,777.97

Step by Step Solution

1. Step 1: Write the proportion equation
   10,254.30 : 14,150.64 = 5,777.97 : x
2. Step 2: Convert to fraction form
   10,254.30/14,150.64 = 5,777.97/x
3. Step 3: Cross multiply
   10,254.30x = 14,150.64 × 5,777.97
4. Step 4: Simplify right side
   10,254.30x = 81,761,973.40
5. Step 5: Solve for x
   x = 81,761,973.40/10,254.30
6. Step 6: Final answer
   x = 7,973.43