Finding the Fourth Proportional to 10,616.74, 14,636.44 and 8,470.57

Step by Step Solution

1. Step 1: Write the proportion equation
   10,616.74 : 14,636.44 = 8,470.57 : x
2. Step 2: Convert to fraction form
   10,616.74/14,636.44 = 8,470.57/x
3. Step 3: Cross multiply
   10,616.74x = 14,636.44 × 8,470.57
4. Step 4: Simplify right side
   10,616.74x = 123,978,989.57
5. Step 5: Solve for x
   x = 123,978,989.57/10,616.74
6. Step 6: Final answer
   x = 11,677.69