Finding the Fourth Proportional to 2,505.50, 3,758.14 and 656.57

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.50 : 3,758.14 = 656.57 : x
2. Step 2: Convert to fraction form
   2,505.50/3,758.14 = 656.57/x
3. Step 3: Cross multiply
   2,505.50x = 3,758.14 × 656.57
4. Step 4: Simplify right side
   2,505.50x = 2,467,480.34
5. Step 5: Solve for x
   x = 2,467,480.34/2,505.50
6. Step 6: Final answer
   x = 984.83