Finding the Fourth Proportional to 2,506.50, 3,758.82 and 1,118.46

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506.50 : 3,758.82 = 1,118.46 : x
2. Step 2: Convert to fraction form
   2,506.50/3,758.82 = 1,118.46/x
3. Step 3: Cross multiply
   2,506.50x = 3,758.82 × 1,118.46
4. Step 4: Simplify right side
   2,506.50x = 4,204,089.82
5. Step 5: Solve for x
   x = 4,204,089.82/2,506.50
6. Step 6: Final answer
   x = 1,677.28