Finding the Fourth Proportional to 6,901.97, 9,524.72 and 3,758.16

Step by Step Solution

1. Step 1: Write the proportion equation
   6,901.97 : 9,524.72 = 3,758.16 : x
2. Step 2: Convert to fraction form
   6,901.97/9,524.72 = 3,758.16/x
3. Step 3: Cross multiply
   6,901.97x = 9,524.72 × 3,758.16
4. Step 4: Simplify right side
   6,901.97x = 35,795,421.72
5. Step 5: Solve for x
   x = 35,795,421.72/6,901.97
6. Step 6: Final answer
   x = 5,186.26