Finding the Fourth Proportional to 10,254.45, 14,149.92 and 5,778.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,254.45 : 14,149.92 = 5,778.06 : x
2. Step 2: Convert to fraction form
   10,254.45/14,149.92 = 5,778.06/x
3. Step 3: Cross multiply
   10,254.45x = 14,149.92 × 5,778.06
4. Step 4: Simplify right side
   10,254.45x = 81,759,086.76
5. Step 5: Solve for x
   x = 81,759,086.76/10,254.45
6. Step 6: Final answer
   x = 7,973.03