Finding the Fourth Proportional to 2,974.17, 4,461.33 and 782.84

Step by Step Solution

1. Step 1: Write the proportion equation
   2,974.17 : 4,461.33 = 782.84 : x
2. Step 2: Convert to fraction form
   2,974.17/4,461.33 = 782.84/x
3. Step 3: Cross multiply
   2,974.17x = 4,461.33 × 782.84
4. Step 4: Simplify right side
   2,974.17x = 3,492,504.72
5. Step 5: Solve for x
   x = 3,492,504.72/2,974.17
6. Step 6: Final answer
   x = 1,174.28