Finding the Fourth Proportional to 12,826.46, 17,707.88 and 9,777.65

Step by Step Solution

1. Step 1: Write the proportion equation
   12,826.46 : 17,707.88 = 9,777.65 : x
2. Step 2: Convert to fraction form
   12,826.46/17,707.88 = 9,777.65/x
3. Step 3: Cross multiply
   12,826.46x = 17,707.88 × 9,777.65
4. Step 4: Simplify right side
   12,826.46x = 173,141,315.45
5. Step 5: Solve for x
   x = 173,141,315.45/12,826.46
6. Step 6: Final answer
   x = 13,498.77