Finding the Fourth Proportional to 10,667.96, 14,722.56 and 6,194.30

Step by Step Solution

1. Step 1: Write the proportion equation
   10,667.96 : 14,722.56 = 6,194.30 : x
2. Step 2: Convert to fraction form
   10,667.96/14,722.56 = 6,194.30/x
3. Step 3: Cross multiply
   10,667.96x = 14,722.56 × 6,194.30
4. Step 4: Simplify right side
   10,667.96x = 91,195,953.41
5. Step 5: Solve for x
   x = 91,195,953.41/10,667.96
6. Step 6: Final answer
   x = 8,548.58