Finding the Fourth Proportional to 11,665.68, 17,488.59 and 5,086.96

Step by Step Solution

1. Step 1: Write the proportion equation
   11,665.68 : 17,488.59 = 5,086.96 : x
2. Step 2: Convert to fraction form
   11,665.68/17,488.59 = 5,086.96/x
3. Step 3: Cross multiply
   11,665.68x = 17,488.59 × 5,086.96
4. Step 4: Simplify right side
   11,665.68x = 88,963,757.79
5. Step 5: Solve for x
   x = 88,963,757.79/11,665.68
6. Step 6: Final answer
   x = 7,626.11