Finding the Fourth Proportional to 10,778.08, 14,872.80 and 5,997.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10,778.08 : 14,872.80 = 5,997.82 : x
2. Step 2: Convert to fraction form
   10,778.08/14,872.80 = 5,997.82/x
3. Step 3: Cross multiply
   10,778.08x = 14,872.80 × 5,997.82
4. Step 4: Simplify right side
   10,778.08x = 89,204,377.30
5. Step 5: Solve for x
   x = 89,204,377.30/10,778.08
6. Step 6: Final answer
   x = 8,276.46