Finding the Fourth Proportional to 2,182.56, 3,011.93 and 1,187.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,182.56 : 3,011.93 = 1,187.82 : x
2. Step 2: Convert to fraction form
   2,182.56/3,011.93 = 1,187.82/x
3. Step 3: Cross multiply
   2,182.56x = 3,011.93 × 1,187.82
4. Step 4: Simplify right side
   2,182.56x = 3,577,624.75
5. Step 5: Solve for x
   x = 3,577,624.75/2,182.56
6. Step 6: Final answer
   x = 1,639.19