Finding the Fourth Proportional to 9,977.67, 14,946.56 and 8,646.10

Step by Step Solution

1. Step 1: Write the proportion equation
   9,977.67 : 14,946.56 = 8,646.10 : x
2. Step 2: Convert to fraction form
   9,977.67/14,946.56 = 8,646.10/x
3. Step 3: Cross multiply
   9,977.67x = 14,946.56 × 8,646.10
4. Step 4: Simplify right side
   9,977.67x = 129,229,371.82
5. Step 5: Solve for x
   x = 129,229,371.82/9,977.67
6. Step 6: Final answer
   x = 12,951.86