Finding the Fourth Proportional to 12,964.86, 17,891.08 and 7,659.56

Step by Step Solution

1. Step 1: Write the proportion equation
   12,964.86 : 17,891.08 = 7,659.56 : x
2. Step 2: Convert to fraction form
   12,964.86/17,891.08 = 7,659.56/x
3. Step 3: Cross multiply
   12,964.86x = 17,891.08 × 7,659.56
4. Step 4: Simplify right side
   12,964.86x = 137,037,826.30
5. Step 5: Solve for x
   x = 137,037,826.30/12,964.86
6. Step 6: Final answer
   x = 10,569.94