Finding the Fourth Proportional to 9,406.82, 12,977.98 and 5,630.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406.82 : 12,977.98 = 5,630.09 : x
2. Step 2: Convert to fraction form
   9,406.82/12,977.98 = 5,630.09/x
3. Step 3: Cross multiply
   9,406.82x = 12,977.98 × 5,630.09
4. Step 4: Simplify right side
   9,406.82x = 73,067,195.42
5. Step 5: Solve for x
   x = 73,067,195.42/9,406.82
6. Step 6: Final answer
   x = 7,767.47