Finding the Fourth Proportional to 6,667.62, 9,205.83 and 5,152.38

Step by Step Solution

1. Step 1: Write the proportion equation
   6,667.62 : 9,205.83 = 5,152.38 : x
2. Step 2: Convert to fraction form
   6,667.62/9,205.83 = 5,152.38/x
3. Step 3: Cross multiply
   6,667.62x = 9,205.83 × 5,152.38
4. Step 4: Simplify right side
   6,667.62x = 47,431,934.38
5. Step 5: Solve for x
   x = 47,431,934.38/6,667.62
6. Step 6: Final answer
   x = 7,113.77