Finding the Fourth Proportional to 5,179.86, 7,768.89 and 2,546.67

Step by Step Solution

1. Step 1: Write the proportion equation
   5,179.86 : 7,768.89 = 2,546.67 : x
2. Step 2: Convert to fraction form
   5,179.86/7,768.89 = 2,546.67/x
3. Step 3: Cross multiply
   5,179.86x = 7,768.89 × 2,546.67
4. Step 4: Simplify right side
   5,179.86x = 19,784,799.10
5. Step 5: Solve for x
   x = 19,784,799.10/5,179.86
6. Step 6: Final answer
   x = 3,819.56