Finding the Fourth Proportional to 12,766.66, 17,618.25 and 7,461.70

Step by Step Solution

1. Step 1: Write the proportion equation
   12,766.66 : 17,618.25 = 7,461.70 : x
2. Step 2: Convert to fraction form
   12,766.66/17,618.25 = 7,461.70/x
3. Step 3: Cross multiply
   12,766.66x = 17,618.25 × 7,461.70
4. Step 4: Simplify right side
   12,766.66x = 131,462,096.03
5. Step 5: Solve for x
   x = 131,462,096.03/12,766.66
6. Step 6: Final answer
   x = 10,297.30