Finding the Fourth Proportional to 7,769.79, 10,709.50 and 5,498.20

Step by Step Solution

1. Step 1: Write the proportion equation
   7,769.79 : 10,709.50 = 5,498.20 : x
2. Step 2: Convert to fraction form
   7,769.79/10,709.50 = 5,498.20/x
3. Step 3: Cross multiply
   7,769.79x = 10,709.50 × 5,498.20
4. Step 4: Simplify right side
   7,769.79x = 58,882,972.90
5. Step 5: Solve for x
   x = 58,882,972.90/7,769.79
6. Step 6: Final answer
   x = 7,578.45