Finding the Fourth Proportional to 2,505.05, 3,754.38 and 1,188.80

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.05 : 3,754.38 = 1,188.80 : x
2. Step 2: Convert to fraction form
   2,505.05/3,754.38 = 1,188.80/x
3. Step 3: Cross multiply
   2,505.05x = 3,754.38 × 1,188.80
4. Step 4: Simplify right side
   2,505.05x = 4,463,206.94
5. Step 5: Solve for x
   x = 4,463,206.94/2,505.05
6. Step 6: Final answer
   x = 1,781.68