Finding the Fourth Proportional to 7,706.70, 10,626.71 and 5,578.02

Step by Step Solution

1. Step 1: Write the proportion equation
   7,706.70 : 10,626.71 = 5,578.02 : x
2. Step 2: Convert to fraction form
   7,706.70/10,626.71 = 5,578.02/x
3. Step 3: Cross multiply
   7,706.70x = 10,626.71 × 5,578.02
4. Step 4: Simplify right side
   7,706.70x = 59,275,973.02
5. Step 5: Solve for x
   x = 59,275,973.02/7,706.70
6. Step 6: Final answer
   x = 7,691.49