Finding the Fourth Proportional to 7,769.84, 10,717.78 and 5,498.62

Step by Step Solution

1. Step 1: Write the proportion equation
   7,769.84 : 10,717.78 = 5,498.62 : x
2. Step 2: Convert to fraction form
   7,769.84/10,717.78 = 5,498.62/x
3. Step 3: Cross multiply
   7,769.84x = 10,717.78 × 5,498.62
4. Step 4: Simplify right side
   7,769.84x = 58,932,999.46
5. Step 5: Solve for x
   x = 58,932,999.46/7,769.84
6. Step 6: Final answer
   x = 7,584.84