Finding the Fourth Proportional to 1,420.84, 1,962.70 and 1,202.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,420.84 : 1,962.70 = 1,202.14 : x
2. Step 2: Convert to fraction form
   1,420.84/1,962.70 = 1,202.14/x
3. Step 3: Cross multiply
   1,420.84x = 1,962.70 × 1,202.14
4. Step 4: Simplify right side
   1,420.84x = 2,359,439.63
5. Step 5: Solve for x
   x = 2,359,439.63/1,420.84
6. Step 6: Final answer
   x = 1,660.59