Finding the Fourth Proportional to 6,901.89, 9,524.59 and 3,758.10

Step by Step Solution

1. Step 1: Write the proportion equation
   6,901.89 : 9,524.59 = 3,758.10 : x
2. Step 2: Convert to fraction form
   6,901.89/9,524.59 = 3,758.10/x
3. Step 3: Cross multiply
   6,901.89x = 9,524.59 × 3,758.10
4. Step 4: Simplify right side
   6,901.89x = 35,794,361.68
5. Step 5: Solve for x
   x = 35,794,361.68/6,901.89
6. Step 6: Final answer
   x = 5,186.17