Finding the Fourth Proportional to 13,768.42, 18,994.22 and 8,461.30

Step by Step Solution

1. Step 1: Write the proportion equation
   13,768.42 : 18,994.22 = 8,461.30 : x
2. Step 2: Convert to fraction form
   13,768.42/18,994.22 = 8,461.30/x
3. Step 3: Cross multiply
   13,768.42x = 18,994.22 × 8,461.30
4. Step 4: Simplify right side
   13,768.42x = 160,715,793.69
5. Step 5: Solve for x
   x = 160,715,793.69/13,768.42
6. Step 6: Final answer
   x = 11,672.78