Finding the Fourth Proportional to 12,667.84, 17,478.12 and 8,191.78

Step by Step Solution

1. Step 1: Write the proportion equation
   12,667.84 : 17,478.12 = 8,191.78 : x
2. Step 2: Convert to fraction form
   12,667.84/17,478.12 = 8,191.78/x
3. Step 3: Cross multiply
   12,667.84x = 17,478.12 × 8,191.78
4. Step 4: Simplify right side
   12,667.84x = 143,176,913.85
5. Step 5: Solve for x
   x = 143,176,913.85/12,667.84
6. Step 6: Final answer
   x = 11,302.39