Finding the Fourth Proportional to 2,146.31, 2,961.77 and 1,189.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,146.31 : 2,961.77 = 1,189.16 : x
2. Step 2: Convert to fraction form
   2,146.31/2,961.77 = 1,189.16/x
3. Step 3: Cross multiply
   2,146.31x = 2,961.77 × 1,189.16
4. Step 4: Simplify right side
   2,146.31x = 3,522,020.46
5. Step 5: Solve for x
   x = 3,522,020.46/2,146.31
6. Step 6: Final answer
   x = 1,640.96