Finding the Fourth Proportional to 2,146.53, 2,962.46 and 1,202.58

Step by Step Solution

1. Step 1: Write the proportion equation
   2,146.53 : 2,962.46 = 1,202.58 : x
2. Step 2: Convert to fraction form
   2,146.53/2,962.46 = 1,202.58/x
3. Step 3: Cross multiply
   2,146.53x = 2,962.46 × 1,202.58
4. Step 4: Simplify right side
   2,146.53x = 3,562,598.15
5. Step 5: Solve for x
   x = 3,562,598.15/2,146.53
6. Step 6: Final answer
   x = 1,659.70