Finding the Fourth Proportional to 1,974.50, 2,962.56 and 1,205

Step by Step Solution

1. Step 1: Write the proportion equation
   1,974.50 : 2,962.56 = 1,205 : x
2. Step 2: Convert to fraction form
   1,974.50/2,962.56 = 1,205/x
3. Step 3: Cross multiply
   1,974.50x = 2,962.56 × 1,205
4. Step 4: Simplify right side
   1,974.50x = 3,569,884.80
5. Step 5: Solve for x
   x = 3,569,884.80/1,974.50
6. Step 6: Final answer
   x = 1,807.99