Finding the Fourth Proportional to 6,667.74, 9,202.76 and 3,837.02

Step by Step Solution

1. Step 1: Write the proportion equation
   6,667.74 : 9,202.76 = 3,837.02 : x
2. Step 2: Convert to fraction form
   6,667.74/9,202.76 = 3,837.02/x
3. Step 3: Cross multiply
   6,667.74x = 9,202.76 × 3,837.02
4. Step 4: Simplify right side
   6,667.74x = 35,311,174.18
5. Step 5: Solve for x
   x = 35,311,174.18/6,667.74
6. Step 6: Final answer
   x = 5,295.82