Finding the Fourth Proportional to 6,902.57, 9,525.72 and 3,758.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,902.57 : 9,525.72 = 3,758.75 : x
2. Step 2: Convert to fraction form
   6,902.57/9,525.72 = 3,758.75/x
3. Step 3: Cross multiply
   6,902.57x = 9,525.72 × 3,758.75
4. Step 4: Simplify right side
   6,902.57x = 35,804,800.05
5. Step 5: Solve for x
   x = 35,804,800.05/6,902.57
6. Step 6: Final answer
   x = 5,187.17