Finding the Fourth Proportional to 11,118.65, 16,659.46 and 7,824.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,118.65 : 16,659.46 = 7,824.82 : x
2. Step 2: Convert to fraction form
   11,118.65/16,659.46 = 7,824.82/x
3. Step 3: Cross multiply
   11,118.65x = 16,659.46 × 7,824.82
4. Step 4: Simplify right side
   11,118.65x = 130,357,275.80
5. Step 5: Solve for x
   x = 130,357,275.80/11,118.65
6. Step 6: Final answer
   x = 11,724.20