Finding the Fourth Proportional to 2,182.25, 3,011.41 and 1,187.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,182.25 : 3,011.41 = 1,187.50 : x
2. Step 2: Convert to fraction form
   2,182.25/3,011.41 = 1,187.50/x
3. Step 3: Cross multiply
   2,182.25x = 3,011.41 × 1,187.50
4. Step 4: Simplify right side
   2,182.25x = 3,576,049.38
5. Step 5: Solve for x
   x = 3,576,049.38/2,182.25
6. Step 6: Final answer
   x = 1,638.70