Finding the Fourth Proportional to 7,738.59, 10,688.04 and 5,216.34

Step by Step Solution

1. Step 1: Write the proportion equation
   7,738.59 : 10,688.04 = 5,216.34 : x
2. Step 2: Convert to fraction form
   7,738.59/10,688.04 = 5,216.34/x
3. Step 3: Cross multiply
   7,738.59x = 10,688.04 × 5,216.34
4. Step 4: Simplify right side
   7,738.59x = 55,752,450.57
5. Step 5: Solve for x
   x = 55,752,450.57/7,738.59
6. Step 6: Final answer
   x = 7,204.47