Finding the Fourth Proportional to 6,667.61, 9,201.84 and 3,835.89

Step by Step Solution

1. Step 1: Write the proportion equation
   6,667.61 : 9,201.84 = 3,835.89 : x
2. Step 2: Convert to fraction form
   6,667.61/9,201.84 = 3,835.89/x
3. Step 3: Cross multiply
   6,667.61x = 9,201.84 × 3,835.89
4. Step 4: Simplify right side
   6,667.61x = 35,297,246.04
5. Step 5: Solve for x
   x = 35,297,246.04/6,667.61
6. Step 6: Final answer
   x = 5,293.84