Finding the Fourth Proportional to 6,784.56, 10,186.56 and 6,667.92

Step by Step Solution

1. Step 1: Write the proportion equation
   6,784.56 : 10,186.56 = 6,667.92 : x
2. Step 2: Convert to fraction form
   6,784.56/10,186.56 = 6,667.92/x
3. Step 3: Cross multiply
   6,784.56x = 10,186.56 × 6,667.92
4. Step 4: Simplify right side
   6,784.56x = 67,923,167.16
5. Step 5: Solve for x
   x = 67,923,167.16/6,784.56
6. Step 6: Final answer
   x = 10,011.43