Finding the Fourth Proportional to 7,698.78, 10,626.02 and 5,005.31

Step by Step Solution

1. Step 1: Write the proportion equation
   7,698.78 : 10,626.02 = 5,005.31 : x
2. Step 2: Convert to fraction form
   7,698.78/10,626.02 = 5,005.31/x
3. Step 3: Cross multiply
   7,698.78x = 10,626.02 × 5,005.31
4. Step 4: Simplify right side
   7,698.78x = 53,186,515.17
5. Step 5: Solve for x
   x = 53,186,515.17/7,698.78
6. Step 6: Final answer
   x = 6,908.43