Finding the Fourth Proportional to 1,745.20, 2,405.55 and 1,185.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,745.20 : 2,405.55 = 1,185.38 : x
2. Step 2: Convert to fraction form
   1,745.20/2,405.55 = 1,185.38/x
3. Step 3: Cross multiply
   1,745.20x = 2,405.55 × 1,185.38
4. Step 4: Simplify right side
   1,745.20x = 2,851,499.16
5. Step 5: Solve for x
   x = 2,851,499.16/1,745.20
6. Step 6: Final answer
   x = 1,633.91