Finding the Fourth Proportional to 12,766.20, 17,617.38 and 7,101.30

Step by Step Solution

1. Step 1: Write the proportion equation
   12,766.20 : 17,617.38 = 7,101.30 : x
2. Step 2: Convert to fraction form
   12,766.20/17,617.38 = 7,101.30/x
3. Step 3: Cross multiply
   12,766.20x = 17,617.38 × 7,101.30
4. Step 4: Simplify right side
   12,766.20x = 125,106,300.59
5. Step 5: Solve for x
   x = 125,106,300.59/12,766.20
6. Step 6: Final answer
   x = 9,799.81