Finding the Fourth Proportional to 2,016.60, 2,782.65 and 1,166.00

Step by Step Solution

1. Step 1: Write the proportion equation
   2,016.60 : 2,782.65 = 1,166.00 : x
2. Step 2: Convert to fraction form
   2,016.60/2,782.65 = 1,166.00/x
3. Step 3: Cross multiply
   2,016.60x = 2,782.65 × 1,166.00
4. Step 4: Simplify right side
   2,016.60x = 3,244,560.36
5. Step 5: Solve for x
   x = 3,244,560.36/2,016.60
6. Step 6: Final answer
   x = 1,608.93