Finding the Fourth Proportional to 1,981.62, 2,974.59 and 828.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,981.62 : 2,974.59 = 828.18 : x
2. Step 2: Convert to fraction form
   1,981.62/2,974.59 = 828.18/x
3. Step 3: Cross multiply
   1,981.62x = 2,974.59 × 828.18
4. Step 4: Simplify right side
   1,981.62x = 2,463,495.95
5. Step 5: Solve for x
   x = 2,463,495.95/1,981.62
6. Step 6: Final answer
   x = 1,243.17