Finding the Fourth Proportional to 2,016.61, 3,022.71 and 783.65

Step by Step Solution

1. Step 1: Write the proportion equation
   2,016.61 : 3,022.71 = 783.65 : x
2. Step 2: Convert to fraction form
   2,016.61/3,022.71 = 783.65/x
3. Step 3: Cross multiply
   2,016.61x = 3,022.71 × 783.65
4. Step 4: Simplify right side
   2,016.61x = 2,368,746.69
5. Step 5: Solve for x
   x = 2,368,746.69/2,016.61
6. Step 6: Final answer
   x = 1,174.62