Finding the Fourth Proportional to 10,255.77, 14,152.10 and 5,778.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,255.77 : 14,152.10 = 5,778.72 : x
2. Step 2: Convert to fraction form
   10,255.77/14,152.10 = 5,778.72/x
3. Step 3: Cross multiply
   10,255.77x = 14,152.10 × 5,778.72
4. Step 4: Simplify right side
   10,255.77x = 81,780,994.42
5. Step 5: Solve for x
   x = 81,780,994.42/10,255.77
6. Step 6: Final answer
   x = 7,974.14