Finding the Fourth Proportional to 2,182.14, 3,011.41 and 1,187.48

Step by Step Solution

1. Step 1: Write the proportion equation
   2,182.14 : 3,011.41 = 1,187.48 : x
2. Step 2: Convert to fraction form
   2,182.14/3,011.41 = 1,187.48/x
3. Step 3: Cross multiply
   2,182.14x = 3,011.41 × 1,187.48
4. Step 4: Simplify right side
   2,182.14x = 3,575,989.15
5. Step 5: Solve for x
   x = 3,575,989.15/2,182.14
6. Step 6: Final answer
   x = 1,638.75