Finding the Fourth Proportional to 20,586.82, 30,878.18 and 5,795.40

Step by Step Solution

1. Step 1: Write the proportion equation
   20,586.82 : 30,878.18 = 5,795.40 : x
2. Step 2: Convert to fraction form
   20,586.82/30,878.18 = 5,795.40/x
3. Step 3: Cross multiply
   20,586.82x = 30,878.18 × 5,795.40
4. Step 4: Simplify right side
   20,586.82x = 178,951,404.37
5. Step 5: Solve for x
   x = 178,951,404.37/20,586.82
6. Step 6: Final answer
   x = 8,692.52