Finding the Fourth Proportional to 11,559.30, 15,946.65 and 7,826.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11,559.30 : 15,946.65 = 7,826.82 : x
2. Step 2: Convert to fraction form
   11,559.30/15,946.65 = 7,826.82/x
3. Step 3: Cross multiply
   11,559.30x = 15,946.65 × 7,826.82
4. Step 4: Simplify right side
   11,559.30x = 124,811,559.15
5. Step 5: Solve for x
   x = 124,811,559.15/11,559.30
6. Step 6: Final answer
   x = 10,797.50