Finding the Fourth Proportional to 2,146.34, 2,962.10 and 1,202.22

Step by Step Solution

1. Step 1: Write the proportion equation
   2,146.34 : 2,962.10 = 1,202.22 : x
2. Step 2: Convert to fraction form
   2,146.34/2,962.10 = 1,202.22/x
3. Step 3: Cross multiply
   2,146.34x = 2,962.10 × 1,202.22
4. Step 4: Simplify right side
   2,146.34x = 3,561,095.86
5. Step 5: Solve for x
   x = 3,561,095.86/2,146.34
6. Step 6: Final answer
   x = 1,659.15