Finding the Fourth Proportional to 6,667.30, 9,201.60 and 3,834.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6,667.30 : 9,201.60 = 3,834.82 : x
2. Step 2: Convert to fraction form
   6,667.30/9,201.60 = 3,834.82/x
3. Step 3: Cross multiply
   6,667.30x = 9,201.60 × 3,834.82
4. Step 4: Simplify right side
   6,667.30x = 35,286,479.71
5. Step 5: Solve for x
   x = 35,286,479.71/6,667.30
6. Step 6: Final answer
   x = 5,292.47