Finding the Fourth Proportional to 12,611.64, 17,404.06 and 6,946.42

Step by Step Solution

1. Step 1: Write the proportion equation
   12,611.64 : 17,404.06 = 6,946.42 : x
2. Step 2: Convert to fraction form
   12,611.64/17,404.06 = 6,946.42/x
3. Step 3: Cross multiply
   12,611.64x = 17,404.06 × 6,946.42
4. Step 4: Simplify right side
   12,611.64x = 120,895,910.47
5. Step 5: Solve for x
   x = 120,895,910.47/12,611.64
6. Step 6: Final answer
   x = 9,586.06