Finding the Fourth Proportional to 2,182.75, 3,012.17 and 1,188.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,182.75 : 3,012.17 = 1,188.02 : x
2. Step 2: Convert to fraction form
   2,182.75/3,012.17 = 1,188.02/x
3. Step 3: Cross multiply
   2,182.75x = 3,012.17 × 1,188.02
4. Step 4: Simplify right side
   2,182.75x = 3,578,518.20
5. Step 5: Solve for x
   x = 3,578,518.20/2,182.75
6. Step 6: Final answer
   x = 1,639.45