Finding the Fourth Proportional to 2,016.89, 3,024.72 and 784.02

Step by Step Solution

1. Step 1: Write the proportion equation
   2,016.89 : 3,024.72 = 784.02 : x
2. Step 2: Convert to fraction form
   2,016.89/3,024.72 = 784.02/x
3. Step 3: Cross multiply
   2,016.89x = 3,024.72 × 784.02
4. Step 4: Simplify right side
   2,016.89x = 2,371,440.97
5. Step 5: Solve for x
   x = 2,371,440.97/2,016.89
6. Step 6: Final answer
   x = 1,175.79