Finding the Fourth Proportional to 10,254.88, 14,152.21 and 5,778.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,254.88 : 14,152.21 = 5,778.82 : x
2. Step 2: Convert to fraction form
   10,254.88/14,152.21 = 5,778.82/x
3. Step 3: Cross multiply
   10,254.88x = 14,152.21 × 5,778.82
4. Step 4: Simplify right side
   10,254.88x = 81,783,029.51
5. Step 5: Solve for x
   x = 81,783,029.51/10,254.88
6. Step 6: Final answer
   x = 7,975.04