Finding the Fourth Proportional to 6,905.38, 9,529.46 and 3,761.57

Step by Step Solution

1. Step 1: Write the proportion equation
   6,905.38 : 9,529.46 = 3,761.57 : x
2. Step 2: Convert to fraction form
   6,905.38/9,529.46 = 3,761.57/x
3. Step 3: Cross multiply
   6,905.38x = 9,529.46 × 3,761.57
4. Step 4: Simplify right side
   6,905.38x = 35,845,712.04
5. Step 5: Solve for x
   x = 35,845,712.04/6,905.38
6. Step 6: Final answer
   x = 5,190.99