Finding the Fourth Proportional to 2,132.33, 2,942.70 and 1,188.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,132.33 : 2,942.70 = 1,188.12 : x
2. Step 2: Convert to fraction form
   2,132.33/2,942.70 = 1,188.12/x
3. Step 3: Cross multiply
   2,132.33x = 2,942.70 × 1,188.12
4. Step 4: Simplify right side
   2,132.33x = 3,496,273.37
5. Step 5: Solve for x
   x = 3,496,273.37/2,132.33
6. Step 6: Final answer
   x = 1,639.65