Finding the Fourth Proportional to 12,674, 17,490.12 and 7,706

Step by Step Solution

1. Step 1: Write the proportion equation
   12,674 : 17,490.12 = 7,706 : x
2. Step 2: Convert to fraction form
   12,674/17,490.12 = 7,706/x
3. Step 3: Cross multiply
   12,674x = 17,490.12 × 7,706
4. Step 4: Simplify right side
   12,674x = 134,778,864.72
5. Step 5: Solve for x
   x = 134,778,864.72/12,674
6. Step 6: Final answer
   x = 10,634.28