Finding the Fourth Proportional to 1,986.82, 2,738.78 and 1,566.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,986.82 : 2,738.78 = 1,566.42 : x
2. Step 2: Convert to fraction form
   1,986.82/2,738.78 = 1,566.42/x
3. Step 3: Cross multiply
   1,986.82x = 2,738.78 × 1,566.42
4. Step 4: Simplify right side
   1,986.82x = 4,290,079.77
5. Step 5: Solve for x
   x = 4,290,079.77/1,986.82
6. Step 6: Final answer
   x = 2,159.27