Finding the Fourth Proportional to 12,892.56, 17,790.80 and 7,586.65

Step by Step Solution

1. Step 1: Write the proportion equation
   12,892.56 : 17,790.80 = 7,586.65 : x
2. Step 2: Convert to fraction form
   12,892.56/17,790.80 = 7,586.65/x
3. Step 3: Cross multiply
   12,892.56x = 17,790.80 × 7,586.65
4. Step 4: Simplify right side
   12,892.56x = 134,972,572.82
5. Step 5: Solve for x
   x = 134,972,572.82/12,892.56
6. Step 6: Final answer
   x = 10,469.03