Finding the Fourth Proportional to 9,179.64, 12,667.86 and 5,201.46

Step by Step Solution

1. Step 1: Write the proportion equation
   9,179.64 : 12,667.86 = 5,201.46 : x
2. Step 2: Convert to fraction form
   9,179.64/12,667.86 = 5,201.46/x
3. Step 3: Cross multiply
   9,179.64x = 12,667.86 × 5,201.46
4. Step 4: Simplify right side
   9,179.64x = 65,891,367.08
5. Step 5: Solve for x
   x = 65,891,367.08/9,179.64
6. Step 6: Final answer
   x = 7,177.99