Finding the Fourth Proportional to 6,667.50, 9,201.15 and 3,874.62

Step by Step Solution

1. Step 1: Write the proportion equation
   6,667.50 : 9,201.15 = 3,874.62 : x
2. Step 2: Convert to fraction form
   6,667.50/9,201.15 = 3,874.62/x
3. Step 3: Cross multiply
   6,667.50x = 9,201.15 × 3,874.62
4. Step 4: Simplify right side
   6,667.50x = 35,650,959.81
5. Step 5: Solve for x
   x = 35,650,959.81/6,667.50
6. Step 6: Final answer
   x = 5,346.98