Finding the Fourth Proportional to 2,505.55, 3,755.13 and 1,189.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.55 : 3,755.13 = 1,189.30 : x
2. Step 2: Convert to fraction form
   2,505.55/3,755.13 = 1,189.30/x
3. Step 3: Cross multiply
   2,505.55x = 3,755.13 × 1,189.30
4. Step 4: Simplify right side
   2,505.55x = 4,465,976.11
5. Step 5: Solve for x
   x = 4,465,976.11/2,505.55
6. Step 6: Final answer
   x = 1,782.43