Finding the Fourth Proportional to 12,766.14, 17,611.52 and 7,458.57

Step by Step Solution

1. Step 1: Write the proportion equation
   12,766.14 : 17,611.52 = 7,458.57 : x
2. Step 2: Convert to fraction form
   12,766.14/17,611.52 = 7,458.57/x
3. Step 3: Cross multiply
   12,766.14x = 17,611.52 × 7,458.57
4. Step 4: Simplify right side
   12,766.14x = 131,356,717.43
5. Step 5: Solve for x
   x = 131,356,717.43/12,766.14
6. Step 6: Final answer
   x = 10,289.46