Finding the Fourth Proportional to 12,771.41, 17,623.50 and 7,106.16

Step by Step Solution

1. Step 1: Write the proportion equation
   12,771.41 : 17,623.50 = 7,106.16 : x
2. Step 2: Convert to fraction form
   12,771.41/17,623.50 = 7,106.16/x
3. Step 3: Cross multiply
   12,771.41x = 17,623.50 × 7,106.16
4. Step 4: Simplify right side
   12,771.41x = 125,235,410.76
5. Step 5: Solve for x
   x = 125,235,410.76/12,771.41
6. Step 6: Final answer
   x = 9,805.92