Finding the Fourth Proportional to 2,505.86, 3,758.61 and 1,119.32

Step by Step Solution

1. Step 1: Write the proportion equation
   2,505.86 : 3,758.61 = 1,119.32 : x
2. Step 2: Convert to fraction form
   2,505.86/3,758.61 = 1,119.32/x
3. Step 3: Cross multiply
   2,505.86x = 3,758.61 × 1,119.32
4. Step 4: Simplify right side
   2,505.86x = 4,207,087.35
5. Step 5: Solve for x
   x = 4,207,087.35/2,505.86
6. Step 6: Final answer
   x = 1,678.90