Finding the Fourth Proportional to 2,146.56, 2,962.17 and 1,202.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,146.56 : 2,962.17 = 1,202.16 : x
2. Step 2: Convert to fraction form
   2,146.56/2,962.17 = 1,202.16/x
3. Step 3: Cross multiply
   2,146.56x = 2,962.17 × 1,202.16
4. Step 4: Simplify right side
   2,146.56x = 3,561,002.29
5. Step 5: Solve for x
   x = 3,561,002.29/2,146.56
6. Step 6: Final answer
   x = 1,658.93