Finding the Fourth Proportional to 2,506.88, 3,758.06 and 1,189.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.88 : 3,758.06 = 1,189.82 : x
2. Step 2: Convert to fraction form
   2,506.88/3,758.06 = 1,189.82/x
3. Step 3: Cross multiply
   2,506.88x = 3,758.06 × 1,189.82
4. Step 4: Simplify right side
   2,506.88x = 4,471,414.95
5. Step 5: Solve for x
   x = 4,471,414.95/2,506.88
6. Step 6: Final answer
   x = 1,783.66