Finding the Fourth Proportional to 12,776.50, 19,164.84 and 4,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,776.50 : 19,164.84 = 4,456.50 : x
2. Step 2: Convert to fraction form
   12,776.50/19,164.84 = 4,456.50/x
3. Step 3: Cross multiply
   12,776.50x = 19,164.84 × 4,456.50
4. Step 4: Simplify right side
   12,776.50x = 85,408,109.46
5. Step 5: Solve for x
   x = 85,408,109.46/12,776.50
6. Step 6: Final answer
   x = 6,684.78