Finding the Fourth Proportional to 7,686.50, 11,516.78 and 5,081.54

Step by Step Solution

1. Step 1: Write the proportion equation
   7,686.50 : 11,516.78 = 5,081.54 : x
2. Step 2: Convert to fraction form
   7,686.50/11,516.78 = 5,081.54/x
3. Step 3: Cross multiply
   7,686.50x = 11,516.78 × 5,081.54
4. Step 4: Simplify right side
   7,686.50x = 58,522,933.36
5. Step 5: Solve for x
   x = 58,522,933.36/7,686.50
6. Step 6: Final answer
   x = 7,613.73