Finding the Fourth Proportional to 9,179.14, 12,667.16 and 5,200.96

Step by Step Solution

1. Step 1: Write the proportion equation
   9,179.14 : 12,667.16 = 5,200.96 : x
2. Step 2: Convert to fraction form
   9,179.14/12,667.16 = 5,200.96/x
3. Step 3: Cross multiply
   9,179.14x = 12,667.16 × 5,200.96
4. Step 4: Simplify right side
   9,179.14x = 65,881,392.47
5. Step 5: Solve for x
   x = 65,881,392.47/9,179.14
6. Step 6: Final answer
   x = 7,177.29