Finding the Fourth Proportional to 7,688.82, 11,536.38 and 3,684.18

Step by Step Solution

1. Step 1: Write the proportion equation
   7,688.82 : 11,536.38 = 3,684.18 : x
2. Step 2: Convert to fraction form
   7,688.82/11,536.38 = 3,684.18/x
3. Step 3: Cross multiply
   7,688.82x = 11,536.38 × 3,684.18
4. Step 4: Simplify right side
   7,688.82x = 42,502,100.47
5. Step 5: Solve for x
   x = 42,502,100.47/7,688.82
6. Step 6: Final answer
   x = 5,527.78