Finding the Fourth Proportional to 10,646.17, 14,690.59 and 6,171.33

Step by Step Solution

1. Step 1: Write the proportion equation
   10,646.17 : 14,690.59 = 6,171.33 : x
2. Step 2: Convert to fraction form
   10,646.17/14,690.59 = 6,171.33/x
3. Step 3: Cross multiply
   10,646.17x = 14,690.59 × 6,171.33
4. Step 4: Simplify right side
   10,646.17x = 90,660,478.78
5. Step 5: Solve for x
   x = 90,660,478.78/10,646.17
6. Step 6: Final answer
   x = 8,515.78