Finding the Fourth Proportional to 6,902.42, 9,525.46 and 3,758.61

Step by Step Solution

1. Step 1: Write the proportion equation
   6,902.42 : 9,525.46 = 3,758.61 : x
2. Step 2: Convert to fraction form
   6,902.42/9,525.46 = 3,758.61/x
3. Step 3: Cross multiply
   6,902.42x = 9,525.46 × 3,758.61
4. Step 4: Simplify right side
   6,902.42x = 35,802,479.81
5. Step 5: Solve for x
   x = 35,802,479.81/6,902.42
6. Step 6: Final answer
   x = 5,186.94