Finding the Fourth Proportional to 11,766.24, 17,649.52 and 5,191.04

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766.24 : 17,649.52 = 5,191.04 : x
2. Step 2: Convert to fraction form
   11,766.24/17,649.52 = 5,191.04/x
3. Step 3: Cross multiply
   11,766.24x = 17,649.52 × 5,191.04
4. Step 4: Simplify right side
   11,766.24x = 91,619,364.30
5. Step 5: Solve for x
   x = 91,619,364.30/11,766.24
6. Step 6: Final answer
   x = 7,786.63