Finding the Fourth Proportional to 1,974.83, 2,962.16 and 742.15

Step by Step Solution

1. Step 1: Write the proportion equation
   1,974.83 : 2,962.16 = 742.15 : x
2. Step 2: Convert to fraction form
   1,974.83/2,962.16 = 742.15/x
3. Step 3: Cross multiply
   1,974.83x = 2,962.16 × 742.15
4. Step 4: Simplify right side
   1,974.83x = 2,198,348.52
5. Step 5: Solve for x
   x = 2,198,348.52/1,974.83
6. Step 6: Final answer
   x = 1,113.18