Finding the Fourth Proportional to 9,180.62, 12,667.17 and 5,200.82

Step by Step Solution

1. Step 1: Write the proportion equation
   9,180.62 : 12,667.17 = 5,200.82 : x
2. Step 2: Convert to fraction form
   9,180.62/12,667.17 = 5,200.82/x
3. Step 3: Cross multiply
   9,180.62x = 12,667.17 × 5,200.82
4. Step 4: Simplify right side
   9,180.62x = 65,879,671.08
5. Step 5: Solve for x
   x = 65,879,671.08/9,180.62
6. Step 6: Final answer
   x = 7,175.95