Finding the Fourth Proportional to 10,769.76, 16,147.98 and 4,188.24

Step by Step Solution

1. Step 1: Write the proportion equation
   10,769.76 : 16,147.98 = 4,188.24 : x
2. Step 2: Convert to fraction form
   10,769.76/16,147.98 = 4,188.24/x
3. Step 3: Cross multiply
   10,769.76x = 16,147.98 × 4,188.24
4. Step 4: Simplify right side
   10,769.76x = 67,631,615.76
5. Step 5: Solve for x
   x = 67,631,615.76/10,769.76
6. Step 6: Final answer
   x = 6,279.77