Finding the Fourth Proportional to 12,766.32, 17,617.50 and 7,177.32

Step by Step Solution

1. Step 1: Write the proportion equation
   12,766.32 : 17,617.50 = 7,177.32 : x
2. Step 2: Convert to fraction form
   12,766.32/17,617.50 = 7,177.32/x
3. Step 3: Cross multiply
   12,766.32x = 17,617.50 × 7,177.32
4. Step 4: Simplify right side
   12,766.32x = 126,446,435.10
5. Step 5: Solve for x
   x = 126,446,435.10/12,766.32
6. Step 6: Final answer
   x = 9,904.69